Q: What are the prime factors of the number 972,248?

 A: 2, 121531

Why are those the prime factors of the number 972,248?

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 972,248

972,248
Factor Arrows
2486,124
Factor Arrows
2243,062
Factor Arrows
2121,531

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, 121531

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 121,531 = 972,248

This can also be written as 23 x 121,5311 = 972,248

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


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