Q: What are the prime factors of the number 2,654,046?

 A: 2, 3, 43, 127

Why are those the prime factors of the number 2,654,046?

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 2,654,046

2,654,046
Factor Arrows
21,327,023
Factor Arrows
3442,341
Factor Arrows
3147,447
Factor Arrows
349,149
Factor Arrows
316,383
Factor Arrows
35,461
Factor Arrows
43127

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, 3, 43, 127

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 43 x 127 = 2,654,046

This can also be written as 21 x 35 x 431 x 1271 = 2,654,046

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


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