Q: What are the prime factors of the number 19,015,904?

 A: 2, 193, 3079

Why are those the prime factors of the number 19,015,904?

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 19,015,904

19,015,904
Factor Arrows
29,507,952
Factor Arrows
24,753,976
Factor Arrows
22,376,988
Factor Arrows
21,188,494
Factor Arrows
2594,247
Factor Arrows
1933,079

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, 193, 3079

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 193 x 3,079 = 19,015,904

This can also be written as 25 x 1931 x 3,0791 = 19,015,904

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


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