Prime factorization is the finding which Prime number multiply to get to make the original number.
36: 1, 2, 3, 4, 6, 9, 12, 18, 36
Prime Factors: 2, 3
Prime Factorization: 2 x 2 x 2 x 3
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To write 36 as a product of prime factors, we first break it down into its prime factors. 36 can be written as 2 x 2 x 3 x 3. This can be further simplified as 2^2 x 3^2, where 2 and 3 are prime numbers. Therefore, 36 can be expressed as the product of the prime factors 2 and 3 raised to the powers of 2 and 2 respectively, as 2^2 x 3^2.
When a composite number is written as a product of all of its prime factors, we have the prime factorization of the number. For example, the number 36 can be written as a product of primes as: 36 = 2² x 3². The expression 2² x 3² is said to be the prime factorization of 36.
36 = 22 x 32
22 x 32 = 36
As a product of its prime factors: 2*2*2*2*2 = 36 or in exponents 2^5 = 36
As a product of its prime factors in exponents: 22*38 = 26244
36 18,2 9,2,2 3,3,2,2