Question

What are the prime factorization of 25

Answer 1

Answer:

25 = 5^2

Step-by-step explanation:

Factor the following integer:

25

Hint: | Is 25 divisible by 2?

25 is not divisible by 2 since 25 is odd and 2 is even:

25 = 25 (25 is not divisible by 2)

Hint: | Is 25 divisible by 3?

The sum of the digits of 25 is 2 + 5 = 7, which is not divisible by 3. This means 25 is not divisible by 3:

25 = 25 (25 is not divisible by 2 or 3)

Hint: | Is 25 divisible by 5?

The last digit of 25 is 5, which means 25 is divisible by 5:

25 = 5 5:

25 = 5×5 (5 is not divisible by 2 or 3 since 25 is not)

Hint: | Now try to factor 5. Is 5 prime?

No primes less than 5 divide into it. Therefore 5 is prime:

25 = 5×5

Hint: | Express 25 as a prime power.

There are 2 copies of 5 in the product:

Answer: 25 = 5^2