Q: What are the prime factors of the number 1,428,192?

 A: 2, 3, 19, 29

Why are those the prime factors of the number 1,428,192?

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 1,428,192

1,428,192
Factor Arrows
2714,096
Factor Arrows
2357,048
Factor Arrows
2178,524
Factor Arrows
289,262
Factor Arrows
244,631
Factor Arrows
314,877
Factor Arrows
34,959
Factor Arrows
31,653
Factor Arrows
3551
Factor Arrows
1929

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, 19, 29

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 19 x 29 = 1,428,192

This can also be written as 25 x 34 x 191 x 291 = 1,428,192

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


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