Q: What are the prime factors of the number 2,505,936?

 A: 2, 3, 17, 37, 83

Why are those the prime factors of the number 2,505,936?

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 2,505,936

2,505,936
Factor Arrows
21,252,968
Factor Arrows
2626,484
Factor Arrows
2313,242
Factor Arrows
2156,621
Factor Arrows
352,207
Factor Arrows
173,071
Factor Arrows
3783

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, 17, 37, 83

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 17 x 37 x 83 = 2,505,936

This can also be written as 24 x 31 x 171 x 371 x 831 = 2,505,936

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


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