Q: What are the prime factors of the number 15,922,650?

 A: 2, 3, 5, 101, 1051

Why are those the prime factors of the number 15,922,650?

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 15,922,650

15,922,650
Factor Arrows
27,961,325
Factor Arrows
32,653,775
Factor Arrows
5530,755
Factor Arrows
5106,151
Factor Arrows
1011,051

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, 101, 1051

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 101 x 1,051 = 15,922,650

This can also be written as 21 x 31 x 52 x 1011 x 1,0511 = 15,922,650

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


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