Math Snap

STEP 1

Assumptions1. We are asked to find the prime factorization of100.
. Prime factorization of a number is the expression of that number as a product of prime numbers.

STEP 2

We start by finding the smallest prime number that divides100. The smallest prime number is2, and it does divide100.
$$100 /2 =50$$

STEP 3

We continue this process with the quotient we just found,50. The smallest prime number that divides50 is also2.
$$50 /2 =25$$

STEP 4

We continue this process with the quotient we just found,25. The smallest prime number that divides25 is.
$$25 / =$$

STEP 5

We continue this process with the quotient we just found,5. The smallest prime number that divides5 is5.
$$5 /5 =1$$

Now that our quotient is1, we have found all the prime factors of100. They are2,2,5, and5.
$$100 =2 \times2 \times5 \times5$$So, the prime factorization of100 is $2 \times2 \times5 \times5$. Therefore, the correct answer is option A.