Q: What are the prime factors of the number 2,426,865?

 A: 3, 5, 7, 29, 797

Why are those the prime factors of the number 2,426,865?

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 2,426,865

2,426,865
Factor Arrows
3808,955
Factor Arrows
5161,791
Factor Arrows
723,113
Factor Arrows
29797

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, 29, 797

We can check our work by multiplying all of the prime factors together: 3 x 5 x 7 x 29 x 797 = 2,426,865

This can also be written as 31 x 51 x 71 x 291 x 7971 = 2,426,865

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


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