Q: What are the prime factors of the number 68,474,826?

 A: 2, 3, 7, 223, 2437

Why are those the prime factors of the number 68,474,826?

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 68,474,826

68,474,826
Factor Arrows
234,237,413
Factor Arrows
311,412,471
Factor Arrows
33,804,157
Factor Arrows
7543,451
Factor Arrows
2232,437

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, 7, 223, 2437

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 7 x 223 x 2,437 = 68,474,826

This can also be written as 21 x 32 x 71 x 2231 x 2,4371 = 68,474,826

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


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