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>Prime Factorization< you are here
Prime Factorization
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Prime Factorization of a Number
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A Prime Number is a whole number, greater than 1, that can be evenly
divided only by 1 or itself.
divided only by 1 or itself.
Said another way: a prime is a number whose only factors are itself and 1
For example, 17 is a prime number because its only factors are 1 and 17
Not: Factors" are the numbers you multiply together to get another number:
Prime Factorization:
Prime Numbers Chart
Is 14 a Prime Number? No, because
it can be divided evenly by 2 or 7
(2×7=12).
it can be divided evenly by 2 or 7
(2×7=12).
A number written as the product of all its prime
factors.
factors.
For instance, the prime factorization of 8 is 2×2×2, not just "2". Yes, 2 is
the only factor, but you need three copies of it to multiply back to 8, so the
prime factorization includes all three
the only factor, but you need three copies of it to multiply back to 8, so the
prime factorization includes all three
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