150
75,2
25,3,2
5,5,3,2
The prime factorization of 150 is 2 x 3 x 5 x 5.
2x2x222
Use a factor tree. 72 36,2 18,2,2 9,2,2,2 3,3,2,2,2
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.
252 126,2 63,2,2 21,3,2,2 7,3,3,2,2
That's known as the prime factorization. It's the bottom branch of the factor tree. The prime factorization of 210 is 2 x 3 x 5 x 7.
The prime factorization.
If completed correctly, the bottom branch of a factor tree will be the prime factorization of the number at the top.
factor tree
With a factor tree, yes.
13 is already prime, no tree required.
A factor tree
2x2x222
8
50 25,2 5,5,2
When you want to find the prime factorization of a composite number.
15 23
22 2,11