Answer:
25 = 5^2
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