Q: What are the prime factors of the number 243,432,207?

 A: 3, 23, 109, 10789

Why are those the prime factors of the number 243,432,207?

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 243,432,207

243,432,207
Factor Arrows
381,144,069
Factor Arrows
327,048,023
Factor Arrows
231,176,001
Factor Arrows
10910,789

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:

3, 23, 109, 10789

We can check our work by multiplying all of the prime factors together: 3 x 3 x 23 x 109 x 10,789 = 243,432,207

This can also be written as 32 x 231 x 1091 x 10,7891 = 243,432,207

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


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