Q: What are the prime factors of the number 7,052,670?

 A: 2, 3, 5, 8707

Why are those the prime factors of the number 7,052,670?

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 7,052,670

7,052,670
Factor Arrows
23,526,335
Factor Arrows
31,175,445
Factor Arrows
3391,815
Factor Arrows
3130,605
Factor Arrows
343,535
Factor Arrows
58,707

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, 8707

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 5 x 8,707 = 7,052,670

This can also be written as 21 x 34 x 51 x 8,7071 = 7,052,670

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


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