Q: What are the prime factors of the number 70,503,876?

 A: 2, 3, 313, 6257

Why are those the prime factors of the number 70,503,876?

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 70,503,876

70,503,876
Factor Arrows
235,251,938
Factor Arrows
217,625,969
Factor Arrows
35,875,323
Factor Arrows
31,958,441
Factor Arrows
3136,257

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, 313, 6257

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 313 x 6,257 = 70,503,876

This can also be written as 22 x 32 x 3131 x 6,2571 = 70,503,876

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


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