Q: What are the prime factors of the number 90,084,716?

 A: 2, 67, 157, 2141

Why are those the prime factors of the number 90,084,716?

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 90,084,716

90,084,716
Factor Arrows
245,042,358
Factor Arrows
222,521,179
Factor Arrows
67336,137
Factor Arrows
1572,141

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, 67, 157, 2141

We can check our work by multiplying all of the prime factors together: 2 x 2 x 67 x 157 x 2,141 = 90,084,716

This can also be written as 22 x 671 x 1571 x 2,1411 = 90,084,716

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


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