Q: What are the prime factors of the number 1,040,416?

 A: 2, 13, 41, 61

Why are those the prime factors of the number 1,040,416?

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 1,040,416

1,040,416
Factor Arrows
2520,208
Factor Arrows
2260,104
Factor Arrows
2130,052
Factor Arrows
265,026
Factor Arrows
232,513
Factor Arrows
132,501
Factor Arrows
4161

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, 13, 41, 61

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 13 x 41 x 61 = 1,040,416

This can also be written as 25 x 131 x 411 x 611 = 1,040,416

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


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