Q: What are the prime factors of the number 70,370,340?

 A: 2, 3, 5, 23, 50993

Why are those the prime factors of the number 70,370,340?

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 70,370,340

70,370,340
Factor Arrows
235,185,170
Factor Arrows
217,592,585
Factor Arrows
35,864,195
Factor Arrows
51,172,839
Factor Arrows
2350,993

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, 23, 50993

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 23 x 50,993 = 70,370,340

This can also be written as 22 x 31 x 51 x 231 x 50,9931 = 70,370,340

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


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