Q: What are the prime factors of the number 22,065,664?

 A: 2, 71, 607

Why are those the prime factors of the number 22,065,664?

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 22,065,664

22,065,664
Factor Arrows
211,032,832
Factor Arrows
25,516,416
Factor Arrows
22,758,208
Factor Arrows
21,379,104
Factor Arrows
2689,552
Factor Arrows
2344,776
Factor Arrows
2172,388
Factor Arrows
286,194
Factor Arrows
243,097
Factor Arrows
71607

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, 71, 607

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 71 x 607 = 22,065,664

This can also be written as 29 x 711 x 6071 = 22,065,664

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


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