Here are the solutions to the problems on your worksheet, worked out step by step.
1) Circle the numbers below which are multiples of 4:
To find multiples of 4, we look for numbers that can be divided by 4 without leaving a remainder (like 4, 8, 12, 16...).
* 22 4 = 5 with a remainder of 2. (No)
* 34 ÷ 4 = 8 with a remainder of 2. (No)
*
32 ÷ 4 = 8. (
Yes)
*
28 4 = 7. (
Yes)
* 14 ÷ 4 = 3 with a remainder of 2. (No)
* 41 is an odd number, so it cannot be a multiple of 4. (No)
*
44 ÷ 4 = 11. (
Yes)
2) Circle the numbers below which are factors of 20:
Factors are numbers that divide into 20 exactly. Let's check the list:
*
1: 1 goes into every number. (
Yes)
*
2: 2 × 10 = 20. (
Yes)
*
5: 5 × 4 = 20. (
Yes)
*
10: 10 × 2 = 20. (
Yes)
* 12: 12 does not go into 20 evenly. (No)
*
20: Every number is a factor of itself. (
Yes)
* 40: This is bigger than 20, so it can't be a factor. (No)
3) Fill in the table below:
We need to check two things for each number: Is it a multiple of 3? (Does 3 times a whole number equal this?) and Is it a factor of 36? (Does it divide into 36 evenly?)
*
13: Not a multiple of 3 (3×4=12, 3×5=15). Not a factor of 36 (doesn't divide evenly). ->
NO, NO
*
6: Multiple of 3? Yes (3×2=6). Factor of 36? Yes (36÷6=6). ->
YES, YES
*
10: Not a multiple of 3. Not a factor of 36 (36÷10=3.6). ->
NO, NO
*
4: Not a multiple of 3. Factor of 36? Yes (36÷4=9). ->
NO, YES
*
21: Multiple of 3? Yes (3×7=21). Factor of 36? No (36÷21 is not a whole number). ->
YES, NO
*
12: Multiple of 3? Yes (3×4=12). Factor of 36? Yes (36÷12=3). ->
YES, YES
4) Which of the numbers below are prime numbers?
A prime number has only two factors: 1 and itself.
* 16: Even number, divisible by 2. (Not prime)
*
11: Only divisible by 1 and 11. (
Prime)
* 15: Divisible by 3 and 5. (Not prime)
* 27: Divisible by 3 and 9. (Not prime)
*
23: Only divisible by 1 and 23. (
Prime)
*
2: Only divisible by 1 and 2. (
Prime)
5) Can you find all 6 factors of 32?
Let's find pairs that multiply to make 32:
1 × 32 = 32
2 × 16 = 32
4 × 8 = 32
The factors are:
1, 2, 4, 8, 16, 32.
6) I am a multiple of 13. I am also an even number less than 50. Who am I?
Let's list the multiples of 13:
13 × 1 = 13 (Odd)
13 × 2 =
26 (Even and less than 50)
13 × 3 = 39 (Odd)
13 × 4 = 52 (Too big, it's over 50)
The answer is
26.
──────────────────────────────────────
Final Answer:
1) 32, 28, 44
2) 1, 2, 5, 10, 20
3)
* 13: NO, NO
* 6: YES, YES
* 10: NO, NO
* 4: NO, YES
* 21: YES, NO
* 12: YES, YES
4) 11, 23, 2
5) 1, 2, 4, 8, 16, 32
6) 26
Parent Tip: Review the logic above to help your child master the concept of math multiples worksheet.
