Q: What are the prime factors of the number 70,456,640?

 A: 2, 5, 220177

Why are those the prime factors of the number 70,456,640?

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 70,456,640

70,456,640
Factor Arrows
235,228,320
Factor Arrows
217,614,160
Factor Arrows
28,807,080
Factor Arrows
24,403,540
Factor Arrows
22,201,770
Factor Arrows
21,100,885
Factor Arrows
5220,177

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, 220177

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 5 x 220,177 = 70,456,640

This can also be written as 26 x 51 x 220,1771 = 70,456,640

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


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