Q: What are the prime factors of the number 70,087,402?

 A: 2, 7, 11, 199, 2287

Why are those the prime factors of the number 70,087,402?

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 70,087,402

70,087,402
Factor Arrows
235,043,701
Factor Arrows
75,006,243
Factor Arrows
11455,113
Factor Arrows
1992,287

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, 7, 11, 199, 2287

We can check our work by multiplying all of the prime factors together: 2 x 7 x 11 x 199 x 2,287 = 70,087,402

This can also be written as 21 x 71 x 111 x 1991 x 2,2871 = 70,087,402

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


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