Q: What are the prime factors of the number 128,001,170?

 A: 2, 5, 11, 31, 37537

Why are those the prime factors of the number 128,001,170?

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 128,001,170

128,001,170
Factor Arrows
264,000,585
Factor Arrows
512,800,117
Factor Arrows
111,163,647
Factor Arrows
3137,537

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, 5, 11, 31, 37537

We can check our work by multiplying all of the prime factors together: 2 x 5 x 11 x 31 x 37,537 = 128,001,170

This can also be written as 21 x 51 x 111 x 311 x 37,5371 = 128,001,170

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


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