Q: What are the prime factors of the number 20,845,755?

 A: 3, 5, 7, 19, 43

Why are those the prime factors of the number 20,845,755?

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 20,845,755

20,845,755
Factor Arrows
36,948,585
Factor Arrows
32,316,195
Factor Arrows
3772,065
Factor Arrows
3257,355
Factor Arrows
385,785
Factor Arrows
328,595
Factor Arrows
55,719
Factor Arrows
7817
Factor Arrows
1943

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:

3, 5, 7, 19, 43

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 5 x 7 x 19 x 43 = 20,845,755

This can also be written as 36 x 51 x 71 x 191 x 431 = 20,845,755

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


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