Q: What are the prime factors of the number 240,024,412?

 A: 2, 23, 127, 20543

Why are those the prime factors of the number 240,024,412?

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 240,024,412

240,024,412
Factor Arrows
2120,012,206
Factor Arrows
260,006,103
Factor Arrows
232,608,961
Factor Arrows
12720,543

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, 23, 127, 20543

We can check our work by multiplying all of the prime factors together: 2 x 2 x 23 x 127 x 20,543 = 240,024,412

This can also be written as 22 x 231 x 1271 x 20,5431 = 240,024,412

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


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