Q: What are the prime factors of the number 131,644,500?

 A: 2, 3, 5, 13, 43, 157

Why are those the prime factors of the number 131,644,500?

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 131,644,500

131,644,500
Factor Arrows
265,822,250
Factor Arrows
232,911,125
Factor Arrows
310,970,375
Factor Arrows
52,194,075
Factor Arrows
5438,815
Factor Arrows
587,763
Factor Arrows
136,751
Factor Arrows
43157

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, 13, 43, 157

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 5 x 5 x 13 x 43 x 157 = 131,644,500

This can also be written as 22 x 31 x 53 x 131 x 431 x 1571 = 131,644,500

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


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