Question

When a square number is written as a product of prime numbers, what can you say about the factors?​

Answer 1

Answer:

factors

Step-by-step explanation:

factors is the number of maths do you think

Answer 2

Each factor appears in even number of times.

Explanation:

• Our conclusion can be derived from a few examples. Let me give some.

1. We take a square number 144. When we prime factorize 144, we get 144 = 2 × 2 × 2 × 2 × 3 × 3, where both 2 and 3 appear even number of times.
2. We take another square number 36. When it is prime factorized, we get 36 = 2 × 2 × 3 × 3, where both 2 and 3 appear even number of times.
3. Let us take another square number 25, which when prime factorized, it gives 25 = 5 × 5, where 5 appears two times.

If we consider to see an opposite result from non-square numbers, we will see that non-square numbers have odd number of prime factors for one or more factors.

• Let us take 30, a non-prime number. This, upon prime factorization, gives 30 = 2 × 3 × 5, where each prime factor appears only once.