Q: What are the prime factors of the number 16,309,080?

 A: 2, 3, 5, 15101

Why are those the prime factors of the number 16,309,080?

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 16,309,080

16,309,080
Factor Arrows
28,154,540
Factor Arrows
24,077,270
Factor Arrows
22,038,635
Factor Arrows
3679,545
Factor Arrows
3226,515
Factor Arrows
375,505
Factor Arrows
515,101

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, 15101

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 5 x 15,101 = 16,309,080

This can also be written as 23 x 33 x 51 x 15,1011 = 16,309,080

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


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