Q: What are the prime factors of the number 423,501,240?

 A: 2, 3, 5, 3529177

Why are those the prime factors of the number 423,501,240?

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 423,501,240

423,501,240
Factor Arrows
2211,750,620
Factor Arrows
2105,875,310
Factor Arrows
252,937,655
Factor Arrows
317,645,885
Factor Arrows
53,529,177

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, 5, 3529177

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 3,529,177 = 423,501,240

This can also be written as 23 x 31 x 51 x 3,529,1771 = 423,501,240

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


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