Q: What are the prime factors of the number 80,037,584?

 A: 2, 11, 454759

Why are those the prime factors of the number 80,037,584?

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 80,037,584

80,037,584
Factor Arrows
240,018,792
Factor Arrows
220,009,396
Factor Arrows
210,004,698
Factor Arrows
25,002,349
Factor Arrows
11454,759

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, 11, 454759

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 11 x 454,759 = 80,037,584

This can also be written as 24 x 111 x 454,7591 = 80,037,584

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


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