Q: What are the prime factors of the number 20,426,664?

 A: 2, 3, 37, 23003

Why are those the prime factors of the number 20,426,664?

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 20,426,664

20,426,664
Factor Arrows
210,213,332
Factor Arrows
25,106,666
Factor Arrows
22,553,333
Factor Arrows
3851,111
Factor Arrows
3723,003

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, 37, 23003

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 37 x 23,003 = 20,426,664

This can also be written as 23 x 31 x 371 x 23,0031 = 20,426,664

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


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