Q: What are the prime factors of the number 180,673,450?

 A: 2, 5, 17, 212557

Why are those the prime factors of the number 180,673,450?

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 180,673,450

180,673,450
Factor Arrows
290,336,725
Factor Arrows
518,067,345
Factor Arrows
53,613,469
Factor Arrows
17212,557

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, 17, 212557

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 17 x 212,557 = 180,673,450

This can also be written as 21 x 52 x 171 x 212,5571 = 180,673,450

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


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