Q: What are the prime factors of the number 516,065,750?

 A: 2, 5, 2064263

Why are those the prime factors of the number 516,065,750?

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 516,065,750

516,065,750
Factor Arrows
2258,032,875
Factor Arrows
551,606,575
Factor Arrows
510,321,315
Factor Arrows
52,064,263

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, 2064263

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 5 x 2,064,263 = 516,065,750

This can also be written as 21 x 53 x 2,064,2631 = 516,065,750

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


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