Q: What are the prime factors of the number 26,140,240?

 A: 2, 5, 7, 46679

Why are those the prime factors of the number 26,140,240?

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 26,140,240

26,140,240
Factor Arrows
213,070,120
Factor Arrows
26,535,060
Factor Arrows
23,267,530
Factor Arrows
21,633,765
Factor Arrows
5326,753
Factor Arrows
746,679

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, 5, 7, 46679

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 7 x 46,679 = 26,140,240

This can also be written as 24 x 51 x 71 x 46,6791 = 26,140,240

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


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