Q: What are the prime factors of the number 18,130,784?

 A: 2, 7, 31, 373

Why are those the prime factors of the number 18,130,784?

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 18,130,784

18,130,784
Factor Arrows
29,065,392
Factor Arrows
24,532,696
Factor Arrows
22,266,348
Factor Arrows
21,133,174
Factor Arrows
2566,587
Factor Arrows
780,941
Factor Arrows
711,563
Factor Arrows
31373

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, 31, 373

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 7 x 31 x 373 = 18,130,784

This can also be written as 25 x 72 x 311 x 3731 = 18,130,784

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


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