Q: What are the prime factors of the number 104,265,324?

 A: 2, 3, 29, 99871

Why are those the prime factors of the number 104,265,324?

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 104,265,324

104,265,324
Factor Arrows
252,132,662
Factor Arrows
226,066,331
Factor Arrows
38,688,777
Factor Arrows
32,896,259
Factor Arrows
2999,871

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, 29, 99871

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 29 x 99,871 = 104,265,324

This can also be written as 22 x 32 x 291 x 99,8711 = 104,265,324

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


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