Q: What are the prime factors of the number 131,421,300?

 A: 2, 3, 5, 109, 4019

Why are those the prime factors of the number 131,421,300?

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 131,421,300

131,421,300
Factor Arrows
265,710,650
Factor Arrows
232,855,325
Factor Arrows
310,951,775
Factor Arrows
52,190,355
Factor Arrows
5438,071
Factor Arrows
1094,019

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, 109, 4019

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 5 x 109 x 4,019 = 131,421,300

This can also be written as 22 x 31 x 52 x 1091 x 4,0191 = 131,421,300

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


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