Q: What are the prime factors of the number 16,863,420?

 A: 2, 3, 5, 7, 40151

Why are those the prime factors of the number 16,863,420?

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 16,863,420

16,863,420
Factor Arrows
28,431,710
Factor Arrows
24,215,855
Factor Arrows
31,405,285
Factor Arrows
5281,057
Factor Arrows
740,151

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, 7, 40151

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 7 x 40,151 = 16,863,420

This can also be written as 22 x 31 x 51 x 71 x 40,1511 = 16,863,420

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


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