Q: What are the prime factors of the number 64,680,460?

 A: 2, 5, 13, 47, 67, 79

Why are those the prime factors of the number 64,680,460?

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 64,680,460

64,680,460
Factor Arrows
232,340,230
Factor Arrows
216,170,115
Factor Arrows
53,234,023
Factor Arrows
13248,771
Factor Arrows
475,293
Factor Arrows
6779

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, 13, 47, 67, 79

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 13 x 47 x 67 x 79 = 64,680,460

This can also be written as 22 x 51 x 131 x 471 x 671 x 791 = 64,680,460

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


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