Q: What are the prime factors of the number 50,108,436?

 A: 2, 3, 7, 79, 839

Why are those the prime factors of the number 50,108,436?

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 50,108,436

50,108,436
Factor Arrows
225,054,218
Factor Arrows
212,527,109
Factor Arrows
34,175,703
Factor Arrows
31,391,901
Factor Arrows
3463,967
Factor Arrows
766,281
Factor Arrows
79839

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, 79, 839

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 7 x 79 x 839 = 50,108,436

This can also be written as 22 x 33 x 71 x 791 x 8391 = 50,108,436

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


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