What is the prime factorization of 1400?

Answer 1

1400=-2 x 2 x 2 x 5 x 5 x 7 , or 2^3 x 5^2 x 7

The easiest way to find the prime factors of a number is to identify easy divisors first and get them out of the way. In this case, 1400 is even so we can divide by 2, to get 700. That's still even so we can divide by 2 again to get 350. That's still even so we can divide by 2 again to get 175. That ends in a 5 so can divide by 5, to get 35. That is the product of 7 and 5 so we've reached the end.

I divided by 2,2,2,5,5 and 7, and so those are the prime factors of 1,400.
2 x 2 x 2 x 5 x 5 x 7 = 1400