I'll solve each factoring problem step by step, finding the prime factors for each number.
1a. 5
- 5 is already a prime number (only divisible by 1 and itself)
- Prime factorization:
5
1b. 98
- 98 ÷ 2 = 49
- 49 ÷ 7 = 7
- 7 ÷ 7 = 1
- Prime factorization:
2 × 7 × 7 or
2 × 7²
1c. 42
- 42 ÷ 2 = 21
- 21 ÷ 3 = 7
- 7 ÷ 7 = 1
- Prime factorization:
2 × 3 × 7
2a. 53
- 53 is a prime number (not divisible by 2, 3, 5, or 7)
- Prime factorization:
53
2b. 27
- 27 ÷ 3 = 9
- 9 ÷ 3 = 3
- 3 ÷ 3 = 1
- Prime factorization:
3 × 3 × 3 or
3³
2c. 5
- 5 is already a prime number
- Prime factorization:
5
3a. 75
- 75 ÷ 3 = 25
- 25 ÷ 5 = 5
- 5 ÷ 5 = 1
- Prime factorization:
3 × 5 × 5 or
3 × 5²
3b. 46
- 46 ÷ 2 = 23
- 23 is prime
- Prime factorization:
2 × 23
3c. 57
- 57 ÷ 3 = 19
- 19 is prime
- Prime factorization:
3 × 19
Final Answer:
1a. 5
1b. 2 × 7²
1c. 2 × 3 × 7
2a. 53
2b. 3³
2c. 5
3a. 3 × 5²
3b. 2 × 23
3c. 3 × 19
Parent Tip: Review the logic above to help your child master the concept of worksheet factors of numbers 1 100.
