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

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Q: How can you use the prime factorization to determine whether 35 is a factor of the number?
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How can you use the prime factorization of a number to determine whether the number is even or odd?

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


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

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


How can you test to determine whether a number is a factor of another number?

Divide the larger number by the smaller. If the result has no remainder (no decimal) then the smaller number is a factor of the larger.


How can you test to determine whether a number is a factor of another numberr?

Divide the smaller number into the bigger number. If the answer comes out even with no remainder, it's a factor.


What is the first step in finding the prime factorization?

Notice whether the number is odd or even. If it's even, the first prime factor is 2.


What is the name of the method for finding prime factorization of a number?

The only name is factorization.


When you expand a number into a prime factor it's called?

the prime factorization


What is a diagram showing the prime factorization of a number?

A factor free is a diagram showing the prime factorization of a number.


How can making a factor tree help you find the prime factorization of a number?

If completed correctly, the bottom branch of a factor tree will be the prime factorization of the number at the top.


Factor is the factorization of the number 23?

23 is prime.


How do you find the prime factorization of 34?

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.


How can you test to determine if a factor is a factor of another number?

Divide the factor into the number. If the answer is a whole number, the factor is a factor.