Q: What are the prime factors of the number 70,776,270?

 A: 2, 3, 5, 17, 167, 277

Why are those the prime factors of the number 70,776,270?

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 70,776,270

70,776,270
Factor Arrows
235,388,135
Factor Arrows
311,796,045
Factor Arrows
33,932,015
Factor Arrows
5786,403
Factor Arrows
1746,259
Factor Arrows
167277

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, 5, 17, 167, 277

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 17 x 167 x 277 = 70,776,270

This can also be written as 21 x 32 x 51 x 171 x 1671 x 2771 = 70,776,270

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


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