Q: What are the prime factors of the number 906,040?

 A: 2, 5, 22651

Why are those the prime factors of the number 906,040?

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 906,040

906,040
Factor Arrows
2453,020
Factor Arrows
2226,510
Factor Arrows
2113,255
Factor Arrows
522,651

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, 5, 22651

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 22,651 = 906,040

This can also be written as 23 x 51 x 22,6511 = 906,040

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


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