Q: What are the prime factors of the number 18,695,430?

 A: 2, 3, 5, 13, 19, 29

Why are those the prime factors of the number 18,695,430?

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 18,695,430

18,695,430
Factor Arrows
29,347,715
Factor Arrows
33,115,905
Factor Arrows
31,038,635
Factor Arrows
5207,727
Factor Arrows
1315,979
Factor Arrows
19841
Factor Arrows
2929

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, 5, 13, 19, 29

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 13 x 19 x 29 x 29 = 18,695,430

This can also be written as 21 x 32 x 51 x 131 x 191 x 292 = 18,695,430

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


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