Q: What are the prime factors of the number 132,433,424?

 A: 2, 89, 93001

Why are those the prime factors of the number 132,433,424?

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 132,433,424

132,433,424
Factor Arrows
266,216,712
Factor Arrows
233,108,356
Factor Arrows
216,554,178
Factor Arrows
28,277,089
Factor Arrows
8993,001

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, 89, 93001

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 89 x 93,001 = 132,433,424

This can also be written as 24 x 891 x 93,0011 = 132,433,424

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


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