Q: What are the prime factors of the number 135,583,856?

 A: 2, 8473991

Why are those the prime factors of the number 135,583,856?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 135,583,856

135,583,856
Factor Arrows
267,791,928
Factor Arrows
233,895,964
Factor Arrows
216,947,982
Factor Arrows
28,473,991

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 8473991

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 8,473,991 = 135,583,856

This can also be written as 24 x 8,473,9911 = 135,583,856

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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