Q: What are the prime factors of the number 1,185,068?

 A: 2, 19, 31, 503

Why are those the prime factors of the number 1,185,068?

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 1,185,068

1,185,068
Factor Arrows
2592,534
Factor Arrows
2296,267
Factor Arrows
1915,593
Factor Arrows
31503

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, 31, 503

We can check our work by multiplying all of the prime factors together: 2 x 2 x 19 x 31 x 503 = 1,185,068

This can also be written as 22 x 191 x 311 x 5031 = 1,185,068

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


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