Question

Write 400 as product of powers of prime number

Answer 1

400 = 2x2x2x2x5x5

So, in the form of prime numbers:-

$400=2^{4}* 5^{2}$

Answer 2

Given: A number 400

To find: The number as a product of powers of prime numbers

Solution: In order to express 400 as a product of powers of prime numbers, we need to factorize the number first.

In mathematics, factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.

Here we need to do the prime fsctorization of the number, that is, to find the prime factors.

As such, after prime factorization 400 can be expressed as 2 × 2 × 2 × 2 × 5 × 5.

400 = 2 × 2 × 2 × 2 × 5 × 5

⇒ 400 = 2^4 × 5²

Answer: 2^4 × 5²