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Prime factors are the numbers that make up other numbers, but they have to be prime. Prime factorisation is the process of finding the prime numbers that create a number. This is when you multiply the prime numbers together and the product is the original number.
For example:
20
5x4
5x2x2
This process is called prime factorisation. In this case, the prime numbers are 2, 2, and 5.
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What makes a factorization of a number a prime factorization?
When all the factors are prime numbers, that's a prime factorization.
Which numbers have a prime factorization with factors that are all the same number?
Powers of primes
What are the prime factors of 594?
Prime factorization of 594 = 2x3x3x3x11 If we look at the prime factorization of 594 then it is clear that prime factors of 594 are 2, 3 & 11.
What are the prime factors of 45 and 65?
Prime factorization of 45 is 3x3x5. Prime factorization of 65 is 5x13.
What a product of prime factors?
Expressing a number as the product of its prime factors is known as the prime factorization. The prime factorization of 30 is 2 x 3 x 5.
