Q: What are the prime factors of the number 40,936,496?

 A: 2, 2558531

Why are those the prime factors of the number 40,936,496?

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 40,936,496

40,936,496
Factor Arrows
220,468,248
Factor Arrows
210,234,124
Factor Arrows
25,117,062
Factor Arrows
22,558,531

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, 2558531

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2,558,531 = 40,936,496

This can also be written as 24 x 2,558,5311 = 40,936,496

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


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