Q: What are the prime factors of the number 100,156,473?

 A: 3, 3709499

Why are those the prime factors of the number 100,156,473?

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 100,156,473

100,156,473
Factor Arrows
333,385,491
Factor Arrows
311,128,497
Factor Arrows
33,709,499

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:

3, 3709499

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3,709,499 = 100,156,473

This can also be written as 33 x 3,709,4991 = 100,156,473

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


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