Q: What are the prime factors of the number 84,374,970?

 A: 2, 3, 5, 2812499

Why are those the prime factors of the number 84,374,970?

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 84,374,970

84,374,970
Factor Arrows
242,187,485
Factor Arrows
314,062,495
Factor Arrows
52,812,499

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, 2812499

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 2,812,499 = 84,374,970

This can also be written as 21 x 31 x 51 x 2,812,4991 = 84,374,970

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


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