Q: What are the prime factors of the number 70,083,894?

 A: 2, 3, 17, 19, 29, 43

Why are those the prime factors of the number 70,083,894?

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 70,083,894

70,083,894
Factor Arrows
235,041,947
Factor Arrows
311,680,649
Factor Arrows
17687,097
Factor Arrows
1936,163
Factor Arrows
291,247
Factor Arrows
2943

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, 17, 19, 29, 43

We can check our work by multiplying all of the prime factors together: 2 x 3 x 17 x 19 x 29 x 29 x 43 = 70,083,894

This can also be written as 21 x 31 x 171 x 191 x 292 x 431 = 70,083,894

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


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