Q: What are the prime factors of the number 170,657,664?

 A: 2, 3, 444421

Why are those the prime factors of the number 170,657,664?

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 170,657,664

170,657,664
Factor Arrows
285,328,832
Factor Arrows
242,664,416
Factor Arrows
221,332,208
Factor Arrows
210,666,104
Factor Arrows
25,333,052
Factor Arrows
22,666,526
Factor Arrows
21,333,263
Factor Arrows
3444,421

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, 3, 444421

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 3 x 444,421 = 170,657,664

This can also be written as 27 x 31 x 444,4211 = 170,657,664

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


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