Q: What are the prime factors of the number 40,732,550?

 A: 2, 5, 47, 17333

Why are those the prime factors of the number 40,732,550?

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 40,732,550

40,732,550
Factor Arrows
220,366,275
Factor Arrows
54,073,255
Factor Arrows
5814,651
Factor Arrows
4717,333

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, 47, 17333

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 47 x 17,333 = 40,732,550

This can also be written as 21 x 52 x 471 x 17,3331 = 40,732,550

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


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