Q: What are the prime factors of the number 80,382,876?

 A: 2, 3, 7, 31, 30869

Why are those the prime factors of the number 80,382,876?

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 80,382,876

80,382,876
Factor Arrows
240,191,438
Factor Arrows
220,095,719
Factor Arrows
36,698,573
Factor Arrows
7956,939
Factor Arrows
3130,869

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, 7, 31, 30869

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 31 x 30,869 = 80,382,876

This can also be written as 22 x 31 x 71 x 311 x 30,8691 = 80,382,876

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


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