Q: What are the prime factors of the number 89,906,670?

 A: 2, 3, 5, 7, 19, 29, 37

Why are those the prime factors of the number 89,906,670?

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 89,906,670

89,906,670
Factor Arrows
244,953,335
Factor Arrows
314,984,445
Factor Arrows
34,994,815
Factor Arrows
5998,963
Factor Arrows
7142,709
Factor Arrows
720,387
Factor Arrows
191,073
Factor Arrows
2937

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, 7, 19, 29, 37

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 7 x 7 x 19 x 29 x 37 = 89,906,670

This can also be written as 21 x 32 x 51 x 72 x 191 x 291 x 371 = 89,906,670

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


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