Q: What are the prime factors of the number 70,503,872?

 A: 2, 29, 37987

Why are those the prime factors of the number 70,503,872?

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 70,503,872

70,503,872
Factor Arrows
235,251,936
Factor Arrows
217,625,968
Factor Arrows
28,812,984
Factor Arrows
24,406,492
Factor Arrows
22,203,246
Factor Arrows
21,101,623
Factor Arrows
2937,987

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, 29, 37987

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 29 x 37,987 = 70,503,872

This can also be written as 26 x 291 x 37,9871 = 70,503,872

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


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