Q: What are the prime factors of the number 951,248?

 A: 2, 59453

Why are those the prime factors of the number 951,248?

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 951,248

951,248
Factor Arrows
2475,624
Factor Arrows
2237,812
Factor Arrows
2118,906
Factor Arrows
259,453

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, 59453

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 59,453 = 951,248

This can also be written as 24 x 59,4531 = 951,248

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


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