Q: What are the prime factors of the number 170,502,016?

 A: 2, 1332047

Why are those the prime factors of the number 170,502,016?

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 170,502,016

170,502,016
Factor Arrows
285,251,008
Factor Arrows
242,625,504
Factor Arrows
221,312,752
Factor Arrows
210,656,376
Factor Arrows
25,328,188
Factor Arrows
22,664,094
Factor Arrows
21,332,047

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, 1332047

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 1,332,047 = 170,502,016

This can also be written as 27 x 1,332,0471 = 170,502,016

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


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