Q: What are the prime factors of the number 1,040,250?

 A: 2, 3, 5, 19, 73

Why are those the prime factors of the number 1,040,250?

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 1,040,250

1,040,250
Factor Arrows
2520,125
Factor Arrows
3173,375
Factor Arrows
534,675
Factor Arrows
56,935
Factor Arrows
51,387
Factor Arrows
1973

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, 19, 73

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 5 x 19 x 73 = 1,040,250

This can also be written as 21 x 31 x 53 x 191 x 731 = 1,040,250

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


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