Q: What are the prime factors of the number 240,413,244?

 A: 2, 3, 331, 60527

Why are those the prime factors of the number 240,413,244?

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 240,413,244

240,413,244
Factor Arrows
2120,206,622
Factor Arrows
260,103,311
Factor Arrows
320,034,437
Factor Arrows
33160,527

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, 331, 60527

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 331 x 60,527 = 240,413,244

This can also be written as 22 x 31 x 3311 x 60,5271 = 240,413,244

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


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