Q: What are the prime factors of the number 1,330,304?

 A: 2, 19, 547

Why are those the prime factors of the number 1,330,304?

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 1,330,304

1,330,304
Factor Arrows
2665,152
Factor Arrows
2332,576
Factor Arrows
2166,288
Factor Arrows
283,144
Factor Arrows
241,572
Factor Arrows
220,786
Factor Arrows
210,393
Factor Arrows
19547

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, 19, 547

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 19 x 547 = 1,330,304

This can also be written as 27 x 191 x 5471 = 1,330,304

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


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