Answer
$2^{4}\times5^{2}$
Work Step by Step
In order to find the prime factorization of 400, we can try to divide 400 by the first prime, 2.
$400\div2=200$
Try to divide 200 by 2.
$200\div2=100$
Try to divide 100 by 2.
$100\div2=50$
Try to divide 50 by 2.
$50\div2=25$
25 cannot be divided by 2 or 3, so we divide by the next prime, 5.
$25\div5=5$
5 itself is a prime number, so we cannot simplify any more. The prime factorization of 400 is $2\times2\times2\times2\times5\times5=2^{4}\times5^{2}$.
