Q: What are the prime factors of the number 2,466,975?

 A: 3, 5, 7, 37, 127

Why are those the prime factors of the number 2,466,975?

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 2,466,975

2,466,975
Factor Arrows
3822,325
Factor Arrows
5164,465
Factor Arrows
532,893
Factor Arrows
74,699
Factor Arrows
37127

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:

3, 5, 7, 37, 127

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 7 x 37 x 127 = 2,466,975

This can also be written as 31 x 52 x 71 x 371 x 1271 = 2,466,975

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


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