Q: What are the prime factors of the number 502,213,850?

 A: 2, 5, 10044277

Why are those the prime factors of the number 502,213,850?

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 502,213,850

502,213,850
Factor Arrows
2251,106,925
Factor Arrows
550,221,385
Factor Arrows
510,044,277

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, 5, 10044277

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 10,044,277 = 502,213,850

This can also be written as 21 x 52 x 10,044,2771 = 502,213,850

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


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