Question

Find the prime factors of each of the following numbers. a. 25 b. 38 c. 36 d. 285 e. 650 f. 1,740

Answer 1

The prime factors are:

a. 5 and 5 (5 × 5 = 25)

b. 2 and 19 (2 × 19 = 38)

c. 2, 2, 3, and 3 (2 × 2 × 3 × 3 = 36)

d. 3, 5, and 19 (3 × 5× 19 = 285)

e. 2, 5, 5, and 13 (2 × 5 × 5 × 13 = 650)

f. 2, 2, 3, 5, and 29 (2 × 2 × 3 × 5 × 29 = 1,740)

Explanation:

straight from Penn

Answer 2

Gonna give u how to do it and then u sdo it for each one:

You have to try all prime numbers less or equal than the sqrt(number).

Example: 285, sqrt(285) =16.88194301613413

Try all below 16: 2, 3, 5, 7, 11 and 13:

285 / 3 = 95, 95 / 5 = 19 (19 is prime, end),

285 = 3*5*19, the prime factors are 3, 5 and 19

25 = 5*5
38=2*19
36 = 2^2 * 3^2, so 2 and 3.

That's why I let you do the last one