Q: What are the prime factors of the number 610,048?

 A: 2, 2383

Why are those the prime factors of the number 610,048?

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 610,048

610,048
Factor Arrows
2305,024
Factor Arrows
2152,512
Factor Arrows
276,256
Factor Arrows
238,128
Factor Arrows
219,064
Factor Arrows
29,532
Factor Arrows
24,766
Factor Arrows
22,383

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, 2383

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 2 x 2 x 2,383 = 610,048

This can also be written as 28 x 2,3831 = 610,048

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


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