Q: What are the prime factors of the number 89,893,854?

 A: 2, 3, 1664701

Why are those the prime factors of the number 89,893,854?

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 89,893,854

89,893,854
Factor Arrows
244,946,927
Factor Arrows
314,982,309
Factor Arrows
34,994,103
Factor Arrows
31,664,701

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, 1664701

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 1,664,701 = 89,893,854

This can also be written as 21 x 33 x 1,664,7011 = 89,893,854

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


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