Q: What are the prime factors of the number 18,316,576?

 A: 2, 73, 7841

Why are those the prime factors of the number 18,316,576?

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 18,316,576

18,316,576
Factor Arrows
29,158,288
Factor Arrows
24,579,144
Factor Arrows
22,289,572
Factor Arrows
21,144,786
Factor Arrows
2572,393
Factor Arrows
737,841

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, 73, 7841

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 73 x 7,841 = 18,316,576

This can also be written as 25 x 731 x 7,8411 = 18,316,576

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


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