Q: What are the prime factors of the number 105,621?

 A: 3, 17, 19, 109

Why are those the prime factors of the number 105,621?

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 105,621

105,621
Factor Arrows
335,207
Factor Arrows
172,071
Factor Arrows
19109

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:

3, 17, 19, 109

We can check our work by multiplying all of the prime factors together: 3 x 17 x 19 x 109 = 105,621

This can also be written as 31 x 171 x 191 x 1091 = 105,621

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


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