Q: What are the prime factors of the number 80,328,840?

 A: 2, 3, 5, 29, 41, 563

Why are those the prime factors of the number 80,328,840?

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 80,328,840

80,328,840
Factor Arrows
240,164,420
Factor Arrows
220,082,210
Factor Arrows
210,041,105
Factor Arrows
33,347,035
Factor Arrows
5669,407
Factor Arrows
2923,083
Factor Arrows
41563

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, 29, 41, 563

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 29 x 41 x 563 = 80,328,840

This can also be written as 23 x 31 x 51 x 291 x 411 x 5631 = 80,328,840

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


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