Q: What are the prime factors of the number 19,755,888?

 A: 2, 3, 67, 6143

Why are those the prime factors of the number 19,755,888?

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 19,755,888

19,755,888
Factor Arrows
29,877,944
Factor Arrows
24,938,972
Factor Arrows
22,469,486
Factor Arrows
21,234,743
Factor Arrows
3411,581
Factor Arrows
676,143

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, 67, 6143

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 67 x 6,143 = 19,755,888

This can also be written as 24 x 31 x 671 x 6,1431 = 19,755,888

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


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