Q: What are the prime factors of the number 950,530?

 A: 2, 5, 7, 37, 367

Why are those the prime factors of the number 950,530?

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 950,530

950,530
Factor Arrows
2475,265
Factor Arrows
595,053
Factor Arrows
713,579
Factor Arrows
37367

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, 7, 37, 367

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 37 x 367 = 950,530

This can also be written as 21 x 51 x 71 x 371 x 3671 = 950,530

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


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