Q: What are the prime factors of the number 20,880,672?

 A: 2, 3, 199, 1093

Why are those the prime factors of the number 20,880,672?

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 20,880,672

20,880,672
Factor Arrows
210,440,336
Factor Arrows
25,220,168
Factor Arrows
22,610,084
Factor Arrows
21,305,042
Factor Arrows
2652,521
Factor Arrows
3217,507
Factor Arrows
1991,093

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, 199, 1093

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 199 x 1,093 = 20,880,672

This can also be written as 25 x 31 x 1991 x 1,0931 = 20,880,672

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


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