Q: What are the prime factors of the number 955,230?

 A: 2, 3, 5, 17, 1873

Why are those the prime factors of the number 955,230?

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 955,230

955,230
Factor Arrows
2477,615
Factor Arrows
3159,205
Factor Arrows
531,841
Factor Arrows
171,873

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, 17, 1873

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 17 x 1,873 = 955,230

This can also be written as 21 x 31 x 51 x 171 x 1,8731 = 955,230

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


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