Let's solve the problem step by step.
---
What is a Prime Number?
A
prime number is a natural number greater than 1 that has
no positive divisors other than 1 and itself. In other words, it cannot be formed by multiplying two smaller natural numbers.
---
Question 1: Is the number 7 a prime number? Why or why not?
- The number 7 is greater than 1.
- Its only divisors are 1 and 7.
- It cannot be divided evenly by any other number (like 2, 3, 4, 5, or 6).
✔ Yes, 7 is a prime number.
---
Question 2: Is the number 8 a prime number? Why or why not?
- 8 is greater than 1.
- But it can be divided evenly by 1, 2, 4, and 8.
- For example: 8 = 2 × 4 → so it has factors other than 1 and itself.
✘ No, 8 is not a prime number. It is composite.
---
Question 3: Is the number 9 a prime number? Why or why not?
- 9 is greater than 1.
- But 9 = 3 × 3 → divisible by 3.
- Divisors: 1, 3, 9.
✘ No, 9 is not a prime number. It is composite.
---
Question 4: Is the number 5 a prime number? Why or why not?
- 5 is greater than 1.
- Only divisible by 1 and 5.
- Cannot be divided evenly by 2, 3, or 4.
✔ Yes, 5 is a prime number.
---
Circle the prime numbers from the list:
List of numbers:
```
3 6 10 2 14 11
21 5 22 23 30
42 29 41 50 28 46
52 47 53 54 60
```
We will go through each number and determine if it's prime.
#### Check each number:
-
3: Yes (only divisible by 1 and 3)
✔
-
6: No (divisible by 2, 3)
✘
-
10: No (divisible by 2, 5)
✘
-
2: Yes (only divisible by 1 and 2)
✔
-
14: No (divisible by 2, 7)
✘
-
11: Yes (only divisible by 1 and 11)
✔
-
21: No (divisible by 3, 7)
✘
-
5: Yes
✔
-
22: No (divisible by 2, 11)
✘
-
23: Yes
✔
-
30: No (divisible by 2, 3, 5, etc.)
✘
-
42: No (even, divisible by 2, 3, 6, 7, etc.)
✘
-
29: Yes
✔
-
41: Yes
✔
-
50: No (even, divisible by 2, 5, 10, etc.)
✘
-
28: No (even, divisible by 2, 4, 7)
✘
-
46: No (even, divisible by 2, 23)
✘
-
52: No (even)
✘
-
47: Yes
✔
-
53: Yes
✔
-
54: No (even, divisible by 2, 3, 6, 9, etc.)
✘
-
60: No (divisible by many numbers)
✘
---
✔ Prime Numbers to Circle:
From the list, the prime numbers are:
3, 2, 11, 5, 23, 29, 41, 47, 53
---
✔ Final Answer:
Prime Number Questions:
1.
Is 7 a prime number?
→ Yes, because its only divisors are 1 and 7.
2.
Is 8 a prime number?
→ No, because it is divisible by 2 and 4.
3.
Is 9 a prime number?
→ No, because it is divisible by 3.
4.
Is 5 a prime number?
→ Yes, because its only divisors are 1 and 5.
Circle the prime numbers:
👉
2, 3, 5, 11, 23, 29, 41, 47, 53
These are all the prime numbers in the grid.
Parent Tip: Review the logic above to help your child master the concept of prime and composite numbers worksheet grade 4.
