Q: What are the prime factors of the number 20,895,552?

 A: 2, 3, 36277

Why are those the prime factors of the number 20,895,552?

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 20,895,552

20,895,552
Factor Arrows
210,447,776
Factor Arrows
25,223,888
Factor Arrows
22,611,944
Factor Arrows
21,305,972
Factor Arrows
2652,986
Factor Arrows
2326,493
Factor Arrows
3108,831
Factor Arrows
336,277

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, 36277

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 3 x 3 x 36,277 = 20,895,552

This can also be written as 26 x 32 x 36,2771 = 20,895,552

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


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