Q: What are the prime factors of the number 80,006,652?

 A: 2, 3, 11, 18367

Why are those the prime factors of the number 80,006,652?

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 80,006,652

80,006,652
Factor Arrows
240,003,326
Factor Arrows
220,001,663
Factor Arrows
36,667,221
Factor Arrows
32,222,407
Factor Arrows
11202,037
Factor Arrows
1118,367

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, 11, 18367

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 11 x 11 x 18,367 = 80,006,652

This can also be written as 22 x 32 x 112 x 18,3671 = 80,006,652

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


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