Q: What are the prime factors of the number 70,793,604?

 A: 2, 3, 7, 280927

Why are those the prime factors of the number 70,793,604?

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 70,793,604

70,793,604
Factor Arrows
235,396,802
Factor Arrows
217,698,401
Factor Arrows
35,899,467
Factor Arrows
31,966,489
Factor Arrows
7280,927

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, 280927

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 7 x 280,927 = 70,793,604

This can also be written as 22 x 32 x 71 x 280,9271 = 70,793,604

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


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