Q: What are the prime factors of the number 84,730,490?

 A: 2, 5, 13, 59, 11047

Why are those the prime factors of the number 84,730,490?

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 84,730,490

84,730,490
Factor Arrows
242,365,245
Factor Arrows
58,473,049
Factor Arrows
13651,773
Factor Arrows
5911,047

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, 13, 59, 11047

We can check our work by multiplying all of the prime factors together: 2 x 5 x 13 x 59 x 11,047 = 84,730,490

This can also be written as 21 x 51 x 131 x 591 x 11,0471 = 84,730,490

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


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