Q: What are the prime factors of the number 182,860?

 A: 2, 5, 41, 223

Why are those the prime factors of the number 182,860?

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 182,860

182,860
Factor Arrows
291,430
Factor Arrows
245,715
Factor Arrows
59,143
Factor Arrows
41223

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, 5, 41, 223

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 41 x 223 = 182,860

This can also be written as 22 x 51 x 411 x 2231 = 182,860

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


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