What is the prime factorization for 84?

The prime factorization of 84 is the representation of the number 84 as a product of its prime factors.

To find the prime factorization of 84, we can start by dividing it by the smallest prime number, which is 2. We find that 84 divided by 2 is 42, with no remainder. So, we can write 84 as 2 × 42.

Next, we divide 42 by the smallest prime number, which is 2 again. We find that 42 divided by 2 is 21, with no remainder. So, we can write 84 as 2 × 2 × 21.

Now, we divide 21 by the next smallest prime number, which is 3. We find that 21 divided by 3 is 7, with no remainder. So, we can write 84 as 2 × 2 × 3 × 7.

Since 7 is a prime number, and there are no smaller prime numbers that can divide 7, we have found the prime factorization of 84. Therefore, the prime factorization of 84 is 2 × 2 × 3 × 7.