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If the factorization includes the number 2, it's even. If not, it's odd.

Q: How can you use the prime factorization of a number to determine whether the number is even or odd?

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If the prime factorizations have no prime factors in common, the numbers are relatively prime.

the prime factorization of 56 is a prime number that are only divisible by twounique factors.

Use the prime factorizations to determine the GCF. If the GCF is 1, the numbers are relatively prime. If the two numbers have no prime factors in common, they are relatively prime.

If the prime factorizations contain no factors in common (their GCF is 1), the numbers are relatively prime.

When all the factors are prime numbers, that's a prime factorization.

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If the prime factorization contains a 5 and a 7, 35 is a factor.

Very easily: if the prime factorization includes 2, it's even. If not, it's odd.

If the prime factorizations have no prime factors in common, the numbers are relatively prime.

the prime factorization of 56 is a prime number that are only divisible by twounique factors.

Use the prime factorizations to determine the GCF. If the GCF is 1, the numbers are relatively prime. If the two numbers have no prime factors in common, they are relatively prime.

If the prime factorizations contain no factors in common (their GCF is 1), the numbers are relatively prime.

The prime number is the prime factorization. For example, the prime factorization of the prime number 3 is 3. Get it?

If the prime factorizations have no factors in common, the LCM is the product of them.

53 is a prime number so there is no relevant prime factorization for it.

One way to find the prime factorization of a number is to start with the lowest prime number and see if it evenly divides the number. If it does, check whether the result of the division is divisible by that same prime number. When the prime number you are testing does not evenly divide that number, continue with the next prime number. Continue this until the result of the division is a prime number.Check whether 34 is divisible by 2:34 ÷ 2 = 1717 is a prime number, so the prime factorization is finished.The prime factorization of 34 is 2 x 17.Another way to find the prime factorization of a number is to choose a factor pair for that number. Then, find a factor pair for each of those numbers that is not prime.A factor tree of 34 is34/ \2 17Both 2 and 17 are prime, so the tree is finished.The prime factorization of 34 is 2 x 17.

The only number with that prime factorization has to be 48.

Given the prime factorization of an integer how can you determine if our integer is a perfect square?