math

The prime factorization of 392 is 2 x 2 x 2 x 2 x 7 x 7. To begin, you must factor out the smallest prime number which is 2. You can do that by dividing 392 by 2 to find the quotient, which is 196. Then, you divide 196 by 2 again, until you achieve a number that cannot be divided by 2. In this case, the final quotient is 7. Once you have divided 392 as far as it can go by 2, you start to divide the quotient by the next smallest prime number, which is 3. Since 7 isn't divisible by 3, the prime factorization of 392 is made up entirely of the prime numbers 2 and 7. You can use these two prime numbers to find the prime factorization of 392 by multiplying them together. 2 x 2 x 2 x 2 x 7 x 7 = 392.