Q: What are the prime factors of the number 72,550,510?

 A: 2, 5, 23, 315437

Why are those the prime factors of the number 72,550,510?

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 72,550,510

72,550,510
Factor Arrows
236,275,255
Factor Arrows
57,255,051
Factor Arrows
23315,437

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, 23, 315437

We can check our work by multiplying all of the prime factors together: 2 x 5 x 23 x 315,437 = 72,550,510

This can also be written as 21 x 51 x 231 x 315,4371 = 72,550,510

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


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