Q: What are the prime factors of the number 20,603,492?

 A: 2, 7, 13, 23, 107

Why are those the prime factors of the number 20,603,492?

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 20,603,492

20,603,492
Factor Arrows
210,301,746
Factor Arrows
25,150,873
Factor Arrows
7735,839
Factor Arrows
1356,603
Factor Arrows
232,461
Factor Arrows
23107

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, 7, 13, 23, 107

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 13 x 23 x 23 x 107 = 20,603,492

This can also be written as 22 x 71 x 131 x 232 x 1071 = 20,603,492

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


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