Q: What are the prime factors of the number 20,414,320?

 A: 2, 5, 255179

Why are those the prime factors of the number 20,414,320?

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 20,414,320

20,414,320
Factor Arrows
210,207,160
Factor Arrows
25,103,580
Factor Arrows
22,551,790
Factor Arrows
21,275,895
Factor Arrows
5255,179

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, 5, 255179

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 255,179 = 20,414,320

This can also be written as 24 x 51 x 255,1791 = 20,414,320

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


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