Q: What are the prime factors of the number 858,774,475?

 A: 5, 13, 2642383

Why are those the prime factors of the number 858,774,475?

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 858,774,475

858,774,475
Factor Arrows
5171,754,895
Factor Arrows
534,350,979
Factor Arrows
132,642,383

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:

5, 13, 2642383

We can check our work by multiplying all of the prime factors together: 5 x 5 x 13 x 2,642,383 = 858,774,475

This can also be written as 52 x 131 x 2,642,3831 = 858,774,475

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


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