Q: What are the prime factors of the number 133,430,424?

 A: 2, 3, 61, 91141

Why are those the prime factors of the number 133,430,424?

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 133,430,424

133,430,424
Factor Arrows
266,715,212
Factor Arrows
233,357,606
Factor Arrows
216,678,803
Factor Arrows
35,559,601
Factor Arrows
6191,141

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, 3, 61, 91141

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 61 x 91,141 = 133,430,424

This can also be written as 23 x 31 x 611 x 91,1411 = 133,430,424

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


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