Printable primary math worksheet for math grades 1 to 6 based on - Free Printable
Educational worksheet: Printable primary math worksheet for math grades 1 to 6 based on. Download and print for classroom or home learning activities.
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Show Answer Key & Explanations
Step-by-step solution for: Printable primary math worksheet for math grades 1 to 6 based on
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Show Answer Key & Explanations
Step-by-step solution for: Printable primary math worksheet for math grades 1 to 6 based on
Let's solve each part of this worksheet step by step and explain the reasoning behind each answer.
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a. A factor ________ ________ into another number. There will be no ________.
> A factor divides evenly into another number. There will be no remainder.
✔ Explanation: A factor of a number divides that number completely without leaving any remainder.
b. The smallest factor of a number is always ________.
> The smallest factor of a number is always 1.
✔ Explanation: Every number is divisible by 1, so 1 is always the smallest factor.
c. The largest factor of a number is always _________________________.
> The largest factor of a number is always the number itself.
✔ Explanation: A number divides evenly into itself (e.g., 12 ÷ 12 = 1), so it is its own largest factor.
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We find all numbers that divide the given number exactly.
a. 4:
Divisors: 1, 2, 4
→ 1, 2, 4
b. 10:
1, 2, 5, 10
→ 1, 2, 5, 10
c. 7:
Prime number → only 1 and 7
→ 1, 7
d. 12:
1, 2, 3, 4, 6, 12
→ 1, 2, 3, 4, 6, 12
e. 15:
1, 3, 5, 15
→ 1, 3, 5, 15
f. 8:
1, 2, 4, 8
→ 1, 2, 4, 8
g. 2:
1, 2
→ 1, 2
h. 5:
1, 5
→ 1, 5
i. 20:
1, 2, 4, 5, 10, 20
→ 1, 2, 4, 5, 10, 20
j. 9:
1, 3, 9
→ 1, 3, 9
k. 35:
1, 5, 7, 35
→ 1, 5, 7, 35
l. 25:
1, 5, 25
→ 1, 5, 25
m. 24:
1, 2, 3, 4, 6, 8, 12, 24
→ 1, 2, 3, 4, 6, 8, 12, 24
n. 100:
1, 2, 4, 5, 10, 20, 25, 50, 100
→ 1, 2, 4, 5, 10, 20, 25, 50, 100
o. 75:
1, 3, 5, 15, 25, 75
→ 1, 3, 5, 15, 25, 75
p. 81:
1, 3, 9, 27, 81
→ 1, 3, 9, 27, 81
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We list all factors in ascending order and fill in the blanks.
a. 6: 1, 2, ..., ...
Factors: 1, 2, 3, 6
→ 1, 2, 3, 6
b. 3: ..., ...
1, 3
→ 1, 3
c. 14: 1, ..., 7, ...
1, 2, 7, 14
→ 1, 2, 7, 14
d. 16: ..., 2, ..., ..., 16
1, 2, 4, 8, 16
→ 1, 2, 4, 8, 16
e. 28: ..., 2, ..., ..., ..., 28
1, 2, 4, 7, 14, 28
→ 1, 2, 4, 7, 14, 28
f. 18: ..., ..., 3, ..., 9, ...
1, 2, 3, 6, 9, 18
→ 1, 2, 3, 6, 9, 18
g. 30: ..., 2, 3, ..., 6, ..., ..., 30
1, 2, 3, 5, 6, 10, 15, 30
→ 1, 2, 3, 5, 6, 10, 15, 30
h. 49: ..., ..., ...
1, 7, 49
→ 1, 7, 49
i. 36: ..., 2, 3, ..., 9, ..., ..., ...
1, 2, 3, 4, 6, 9, 12, 18, 36
→ 1, 2, 3, 4, 6, 9, 12, 18, 36
j. 90: ..., ..., ..., 6, ..., ..., ..., ..., ..., ...
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
→ 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
k. 40: ..., ..., 4, ..., ..., ..., ...
1, 2, 4, 5, 8, 10, 20, 40
→ 1, 2, 4, 5, 8, 10, 20, 40
l. 48: ..., 2, ..., ..., 8, ..., 16, ..., ...
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
→ 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
m. 72: ..., ..., ..., 4, ..., 8, ..., ..., ..., ..., ..., ...
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
→ 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
---
a. Some numbers have exactly 2 factors. These numbers are called ________ ________.
> These numbers are called prime numbers.
✔ Explanation: Prime numbers have only two factors: 1 and themselves.
b. Most numbers have an even number of factors. The numbers that have an odd number of factors are all ________ ________.
> The numbers that have an odd number of factors are all perfect squares.
✔ Explanation: Factors usually come in pairs (e.g., 1×12, 2×6, 3×4). But if a number is a perfect square (like 36 = 6×6), one factor (6) is repeated, so it's counted once — making the total number of factors odd.
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#### 1.
a. divides evenly, remainder
b. 1
c. the number itself
#### 2.
a. 1, 2, 4
b. 1, 2, 5, 10
c. 1, 7
d. 1, 2, 3, 4, 6, 12
e. 1, 3, 5, 15
f. 1, 2, 4, 8
g. 1, 2
h. 1, 5
i. 1, 2, 4, 5, 10, 20
j. 1, 3, 9
k. 1, 5, 7, 35
l. 1, 5, 25
m. 1, 2, 3, 4, 6, 8, 12, 24
n. 1, 2, 4, 5, 10, 20, 25, 50, 100
o. 1, 3, 5, 15, 25, 75
p. 1, 3, 9, 27, 81
#### 3.
a. 1, 2, 3, 6
b. 1, 3
c. 1, 2, 7, 14
d. 1, 2, 4, 8, 16
e. 1, 2, 4, 7, 14, 28
f. 1, 2, 3, 6, 9, 18
g. 1, 2, 3, 5, 6, 10, 15, 30
h. 1, 7, 49
i. 1, 2, 3, 4, 6, 9, 12, 18, 36
j. 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
k. 1, 2, 4, 5, 8, 10, 20, 40
l. 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
m. 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
#### 4.
a. prime numbers
b. perfect squares
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Let me know if you'd like this as a downloadable file or need help with the next page!
---
1. Complete the sentences:
a. A factor ________ ________ into another number. There will be no ________.
> A factor divides evenly into another number. There will be no remainder.
✔ Explanation: A factor of a number divides that number completely without leaving any remainder.
b. The smallest factor of a number is always ________.
> The smallest factor of a number is always 1.
✔ Explanation: Every number is divisible by 1, so 1 is always the smallest factor.
c. The largest factor of a number is always _________________________.
> The largest factor of a number is always the number itself.
✔ Explanation: A number divides evenly into itself (e.g., 12 ÷ 12 = 1), so it is its own largest factor.
---
2. Write all the factors for each number.
We find all numbers that divide the given number exactly.
a. 4:
Divisors: 1, 2, 4
→ 1, 2, 4
b. 10:
1, 2, 5, 10
→ 1, 2, 5, 10
c. 7:
Prime number → only 1 and 7
→ 1, 7
d. 12:
1, 2, 3, 4, 6, 12
→ 1, 2, 3, 4, 6, 12
e. 15:
1, 3, 5, 15
→ 1, 3, 5, 15
f. 8:
1, 2, 4, 8
→ 1, 2, 4, 8
g. 2:
1, 2
→ 1, 2
h. 5:
1, 5
→ 1, 5
i. 20:
1, 2, 4, 5, 10, 20
→ 1, 2, 4, 5, 10, 20
j. 9:
1, 3, 9
→ 1, 3, 9
k. 35:
1, 5, 7, 35
→ 1, 5, 7, 35
l. 25:
1, 5, 25
→ 1, 5, 25
m. 24:
1, 2, 3, 4, 6, 8, 12, 24
→ 1, 2, 3, 4, 6, 8, 12, 24
n. 100:
1, 2, 4, 5, 10, 20, 25, 50, 100
→ 1, 2, 4, 5, 10, 20, 25, 50, 100
o. 75:
1, 3, 5, 15, 25, 75
→ 1, 3, 5, 15, 25, 75
p. 81:
1, 3, 9, 27, 81
→ 1, 3, 9, 27, 81
---
3. Complete the missing factors for each number, keeping them in order.
We list all factors in ascending order and fill in the blanks.
a. 6: 1, 2, ..., ...
Factors: 1, 2, 3, 6
→ 1, 2, 3, 6
b. 3: ..., ...
1, 3
→ 1, 3
c. 14: 1, ..., 7, ...
1, 2, 7, 14
→ 1, 2, 7, 14
d. 16: ..., 2, ..., ..., 16
1, 2, 4, 8, 16
→ 1, 2, 4, 8, 16
e. 28: ..., 2, ..., ..., ..., 28
1, 2, 4, 7, 14, 28
→ 1, 2, 4, 7, 14, 28
f. 18: ..., ..., 3, ..., 9, ...
1, 2, 3, 6, 9, 18
→ 1, 2, 3, 6, 9, 18
g. 30: ..., 2, 3, ..., 6, ..., ..., 30
1, 2, 3, 5, 6, 10, 15, 30
→ 1, 2, 3, 5, 6, 10, 15, 30
h. 49: ..., ..., ...
1, 7, 49
→ 1, 7, 49
i. 36: ..., 2, 3, ..., 9, ..., ..., ...
1, 2, 3, 4, 6, 9, 12, 18, 36
→ 1, 2, 3, 4, 6, 9, 12, 18, 36
j. 90: ..., ..., ..., 6, ..., ..., ..., ..., ..., ...
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
→ 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
k. 40: ..., ..., 4, ..., ..., ..., ...
1, 2, 4, 5, 8, 10, 20, 40
→ 1, 2, 4, 5, 8, 10, 20, 40
l. 48: ..., 2, ..., ..., 8, ..., 16, ..., ...
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
→ 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
m. 72: ..., ..., ..., 4, ..., 8, ..., ..., ..., ..., ..., ...
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
→ 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
---
4. Complete the sentences:
a. Some numbers have exactly 2 factors. These numbers are called ________ ________.
> These numbers are called prime numbers.
✔ Explanation: Prime numbers have only two factors: 1 and themselves.
b. Most numbers have an even number of factors. The numbers that have an odd number of factors are all ________ ________.
> The numbers that have an odd number of factors are all perfect squares.
✔ Explanation: Factors usually come in pairs (e.g., 1×12, 2×6, 3×4). But if a number is a perfect square (like 36 = 6×6), one factor (6) is repeated, so it's counted once — making the total number of factors odd.
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✔ Final Answers Summary:
#### 1.
a. divides evenly, remainder
b. 1
c. the number itself
#### 2.
a. 1, 2, 4
b. 1, 2, 5, 10
c. 1, 7
d. 1, 2, 3, 4, 6, 12
e. 1, 3, 5, 15
f. 1, 2, 4, 8
g. 1, 2
h. 1, 5
i. 1, 2, 4, 5, 10, 20
j. 1, 3, 9
k. 1, 5, 7, 35
l. 1, 5, 25
m. 1, 2, 3, 4, 6, 8, 12, 24
n. 1, 2, 4, 5, 10, 20, 25, 50, 100
o. 1, 3, 5, 15, 25, 75
p. 1, 3, 9, 27, 81
#### 3.
a. 1, 2, 3, 6
b. 1, 3
c. 1, 2, 7, 14
d. 1, 2, 4, 8, 16
e. 1, 2, 4, 7, 14, 28
f. 1, 2, 3, 6, 9, 18
g. 1, 2, 3, 5, 6, 10, 15, 30
h. 1, 7, 49
i. 1, 2, 3, 4, 6, 9, 12, 18, 36
j. 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
k. 1, 2, 4, 5, 8, 10, 20, 40
l. 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
m. 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
#### 4.
a. prime numbers
b. perfect squares
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Let me know if you'd like this as a downloadable file or need help with the next page!
Parent Tip: Review the logic above to help your child master the concept of multiples worksheets.
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