Q: What are the prime factors of the number 71,194,080?

 A: 2, 3, 5, 83, 1787

Why are those the prime factors of the number 71,194,080?

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 71,194,080

71,194,080
Factor Arrows
235,597,040
Factor Arrows
217,798,520
Factor Arrows
28,899,260
Factor Arrows
24,449,630
Factor Arrows
22,224,815
Factor Arrows
3741,605
Factor Arrows
5148,321
Factor Arrows
831,787

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, 5, 83, 1787

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 5 x 83 x 1,787 = 71,194,080

This can also be written as 25 x 31 x 51 x 831 x 1,7871 = 71,194,080

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


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