Q: What are the prime factors of the number 15,964,530?

 A: 2, 3, 5, 17, 23, 1361

Why are those the prime factors of the number 15,964,530?

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 15,964,530

15,964,530
Factor Arrows
27,982,265
Factor Arrows
32,660,755
Factor Arrows
5532,151
Factor Arrows
1731,303
Factor Arrows
231,361

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, 23, 1361

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 17 x 23 x 1,361 = 15,964,530

This can also be written as 21 x 31 x 51 x 171 x 231 x 1,3611 = 15,964,530

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


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