Q: What are the prime factors of the number 89,140?

 A: 2, 5, 4457

Why are those the prime factors of the number 89,140?

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 89,140

89,140
Factor Arrows
244,570
Factor Arrows
222,285
Factor Arrows
54,457

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, 4457

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 4,457 = 89,140

This can also be written as 22 x 51 x 4,4571 = 89,140

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


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