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Every number can be broken down to prime factors which when times together equal your original number.

12=3*2*2 How did I work that out? Well 6*2=12. 2 is prime so I can ignore it for now. 6= 2*3. 2 and 3 are also prime so I can stop. So the prime numbers that I got were 2,2,3. To check if this is right I can times them together to see what they equal. 2*2=4 4*3=12 Therefore 12=2*2*3 or 12= 2squared*3

Another example for you;

54=9*6. 9=3*3. 6=2*3

54=2*3*3*3

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15y ago
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12y ago

That's known as the prime factorization.

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Q: What is expressing a composite number as the product of prime numbers?
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What is the meaning of a product of primes?

Expressing 15 as a product of its primes is 3 x 5 = 15 Composite numbers can be broken down into a product of prime numbers.


Is the product of a prime number the same as the prime factorization?

A prime factorization is the same as expressing a composite number as the product of its prime factors. Prime numbers don't have factorizations; they're already prime.


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Showing a composite number as a product of prime numbers is called prime factorization.


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