Q: What are the prime factors of the number 36,275,568?

 A: 2, 3, 7, 107, 1009

Why are those the prime factors of the number 36,275,568?

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 36,275,568

36,275,568
Factor Arrows
218,137,784
Factor Arrows
29,068,892
Factor Arrows
24,534,446
Factor Arrows
22,267,223
Factor Arrows
3755,741
Factor Arrows
7107,963
Factor Arrows
1071,009

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, 7, 107, 1009

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 7 x 107 x 1,009 = 36,275,568

This can also be written as 24 x 31 x 71 x 1071 x 1,0091 = 36,275,568

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


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