Q: What are the prime factors of the number 123,412,432?

 A: 2, 11, 13, 53939

Why are those the prime factors of the number 123,412,432?

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 123,412,432

123,412,432
Factor Arrows
261,706,216
Factor Arrows
230,853,108
Factor Arrows
215,426,554
Factor Arrows
27,713,277
Factor Arrows
11701,207
Factor Arrows
1353,939

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, 11, 13, 53939

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 11 x 13 x 53,939 = 123,412,432

This can also be written as 24 x 111 x 131 x 53,9391 = 123,412,432

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


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