How many prime numbers between and are factors of

Solution: 3

To find the prime numbers between 1 to 100 in the factors of 7150, first we need to find the factors of 7150

7150 = 5 × 1430 = 5 × 5 × 286 = 5 × 5 × 2 × 143 = 5 × 5 × 2 × 13 × 11

⇒ 7150 = 5 × 5 × 2 × 13 × 11

Prime numbers are 2, 5, 11, 13

∴ Number of prime numbers = 4