Q: What are the prime factors of the number 16,505,130?

 A: 2, 3, 5, 17, 32363

Why are those the prime factors of the number 16,505,130?

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 16,505,130

16,505,130
Factor Arrows
28,252,565
Factor Arrows
32,750,855
Factor Arrows
5550,171
Factor Arrows
1732,363

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, 17, 32363

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 17 x 32,363 = 16,505,130

This can also be written as 21 x 31 x 51 x 171 x 32,3631 = 16,505,130

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


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