Q: What are the prime factors of the number 132,421,140?

 A: 2, 3, 5, 735673

Why are those the prime factors of the number 132,421,140?

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 132,421,140

132,421,140
Factor Arrows
266,210,570
Factor Arrows
233,105,285
Factor Arrows
311,035,095
Factor Arrows
33,678,365
Factor Arrows
5735,673

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, 5, 735673

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 735,673 = 132,421,140

This can also be written as 22 x 32 x 51 x 735,6731 = 132,421,140

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


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