Q: What are the prime factors of the number 80,671,140?

 A: 2, 3, 5, 11, 503

Why are those the prime factors of the number 80,671,140?

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 80,671,140

80,671,140
Factor Arrows
240,335,570
Factor Arrows
220,167,785
Factor Arrows
36,722,595
Factor Arrows
32,240,865
Factor Arrows
3746,955
Factor Arrows
3248,985
Factor Arrows
382,995
Factor Arrows
327,665
Factor Arrows
55,533
Factor Arrows
11503

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, 11, 503

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 5 x 11 x 503 = 80,671,140

This can also be written as 22 x 36 x 51 x 111 x 5031 = 80,671,140

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


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