Q: What are the prime factors of the number 18,388,048?

 A: 2, 7, 19, 8641

Why are those the prime factors of the number 18,388,048?

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 18,388,048

18,388,048
Factor Arrows
29,194,024
Factor Arrows
24,597,012
Factor Arrows
22,298,506
Factor Arrows
21,149,253
Factor Arrows
7164,179
Factor Arrows
198,641

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, 7, 19, 8641

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 19 x 8,641 = 18,388,048

This can also be written as 24 x 71 x 191 x 8,6411 = 18,388,048

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


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