Q: What are the prime factors of the number 1,058,040?

 A: 2, 3, 5, 2939

Why are those the prime factors of the number 1,058,040?

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 1,058,040

1,058,040
Factor Arrows
2529,020
Factor Arrows
2264,510
Factor Arrows
2132,255
Factor Arrows
344,085
Factor Arrows
314,695
Factor Arrows
52,939

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, 2939

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 5 x 2,939 = 1,058,040

This can also be written as 23 x 32 x 51 x 2,9391 = 1,058,040

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


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