Q: What are the prime factors of the number 170,216,032?

 A: 2, 7, 759893

Why are those the prime factors of the number 170,216,032?

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 170,216,032

170,216,032
Factor Arrows
285,108,016
Factor Arrows
242,554,008
Factor Arrows
221,277,004
Factor Arrows
210,638,502
Factor Arrows
25,319,251
Factor Arrows
7759,893

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, 7, 759893

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 759,893 = 170,216,032

This can also be written as 25 x 71 x 759,8931 = 170,216,032

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


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