Q: What are the prime factors of the number 240,203,432?

 A: 2, 7, 4289347

Why are those the prime factors of the number 240,203,432?

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 240,203,432

240,203,432
Factor Arrows
2120,101,716
Factor Arrows
260,050,858
Factor Arrows
230,025,429
Factor Arrows
74,289,347

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, 7, 4289347

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 4,289,347 = 240,203,432

This can also be written as 23 x 71 x 4,289,3471 = 240,203,432

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


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