Q: What are the prime factors of the number 950,848?

 A: 2, 83, 179

Why are those the prime factors of the number 950,848?

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 950,848

950,848
Factor Arrows
2475,424
Factor Arrows
2237,712
Factor Arrows
2118,856
Factor Arrows
259,428
Factor Arrows
229,714
Factor Arrows
214,857
Factor Arrows
83179

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, 83, 179

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 83 x 179 = 950,848

This can also be written as 26 x 831 x 1791 = 950,848

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


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