Q: What are the prime factors of the number 22,364,048?

 A: 2, 7, 199679

Why are those the prime factors of the number 22,364,048?

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 22,364,048

22,364,048
Factor Arrows
211,182,024
Factor Arrows
25,591,012
Factor Arrows
22,795,506
Factor Arrows
21,397,753
Factor Arrows
7199,679

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, 199679

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 199,679 = 22,364,048

This can also be written as 24 x 71 x 199,6791 = 22,364,048

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


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