Q: What are the prime factors of the number 18,364,644?

 A: 2, 3, 56681

Why are those the prime factors of the number 18,364,644?

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 18,364,644

18,364,644
Factor Arrows
29,182,322
Factor Arrows
24,591,161
Factor Arrows
31,530,387
Factor Arrows
3510,129
Factor Arrows
3170,043
Factor Arrows
356,681

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, 3, 56681

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 56,681 = 18,364,644

This can also be written as 22 x 34 x 56,6811 = 18,364,644

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


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