Q: What are the prime factors of the number 70,103,772?

 A: 2, 3, 31, 20939

Why are those the prime factors of the number 70,103,772?

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 70,103,772

70,103,772
Factor Arrows
235,051,886
Factor Arrows
217,525,943
Factor Arrows
35,841,981
Factor Arrows
31,947,327
Factor Arrows
3649,109
Factor Arrows
3120,939

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, 31, 20939

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 31 x 20,939 = 70,103,772

This can also be written as 22 x 33 x 311 x 20,9391 = 70,103,772

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


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