Q: What are the prime factors of the number 19,647,480?

 A: 2, 3, 5, 163729

Why are those the prime factors of the number 19,647,480?

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 19,647,480

19,647,480
Factor Arrows
29,823,740
Factor Arrows
24,911,870
Factor Arrows
22,455,935
Factor Arrows
3818,645
Factor Arrows
5163,729

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, 163729

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 163,729 = 19,647,480

This can also be written as 23 x 31 x 51 x 163,7291 = 19,647,480

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


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