Q: What are the prime factors of the number 100,423,530?

 A: 2, 3, 5, 371939

Why are those the prime factors of the number 100,423,530?

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 100,423,530

100,423,530
Factor Arrows
250,211,765
Factor Arrows
316,737,255
Factor Arrows
35,579,085
Factor Arrows
31,859,695
Factor Arrows
5371,939

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, 5, 371939

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 371,939 = 100,423,530

This can also be written as 21 x 33 x 51 x 371,9391 = 100,423,530

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


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