Question

express 36 as product of prime factors

Answer 1

3×3×2×2=36

This is how we express 36 as a product of primes

Answer 2

Answer:

The product of 36 as prime factors is $2^2$ × $3^2$.  

Step-by-step explanation:

Consider the number as follows:

36

Since prime factors are those prime numbers that on multiplying gives the original number. Hence such prime numbers are the prime factors.

Prime numbers: Natural numbers that are divisible by 1 and itself only.

Compute the factorisation of number 36 as follows

36 = $2$ × $18$

Here, 2 is a prime number but 18 is not.

36 = $2$ × $2$ × $9$

Here, 9 is not a prime number.

36 = $2$ × $2$ × $3$ × $3$

Observe that 2 and 3 both are prime numbers. This implies 36 cannot be factored further.

⇒ 36 = $2^2$ × $3^2$

Therefore, the product of 36 as prime factors is $2^2$ × $3^2$.

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