Q: What are the prime factors of the number 70,690,266?

 A: 2, 3, 1309079

Why are those the prime factors of the number 70,690,266?

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 70,690,266

70,690,266
Factor Arrows
235,345,133
Factor Arrows
311,781,711
Factor Arrows
33,927,237
Factor Arrows
31,309,079

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, 1309079

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 1,309,079 = 70,690,266

This can also be written as 21 x 33 x 1,309,0791 = 70,690,266

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


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