Q: What are the prime factors of the number 58,740?

 A: 2, 3, 5, 11, 89

Why are those the prime factors of the number 58,740?

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 58,740

58,740
Factor Arrows
229,370
Factor Arrows
214,685
Factor Arrows
34,895
Factor Arrows
5979
Factor Arrows
1189

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, 11, 89

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 11 x 89 = 58,740

This can also be written as 22 x 31 x 51 x 111 x 891 = 58,740

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


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