Q: What are the prime factors of the number 502,266,000?

 A: 2, 3, 5, 97, 863

Why are those the prime factors of the number 502,266,000?

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 502,266,000

502,266,000
Factor Arrows
2251,133,000
Factor Arrows
2125,566,500
Factor Arrows
262,783,250
Factor Arrows
231,391,625
Factor Arrows
310,463,875
Factor Arrows
52,092,775
Factor Arrows
5418,555
Factor Arrows
583,711
Factor Arrows
97863

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, 97, 863

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 97 x 863 = 502,266,000

This can also be written as 24 x 31 x 53 x 971 x 8631 = 502,266,000

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


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