Q: What are the prime factors of the number 68,470,578?

 A: 2, 3, 11, 345811

Why are those the prime factors of the number 68,470,578?

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 68,470,578

68,470,578
Factor Arrows
234,235,289
Factor Arrows
311,411,763
Factor Arrows
33,803,921
Factor Arrows
11345,811

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, 11, 345811

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 11 x 345,811 = 68,470,578

This can also be written as 21 x 32 x 111 x 345,8111 = 68,470,578

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


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