Q: What are the prime factors of the number 81,434,403?

 A: 3, 17, 6571

Why are those the prime factors of the number 81,434,403?

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 81,434,403

81,434,403
Factor Arrows
327,144,801
Factor Arrows
39,048,267
Factor Arrows
33,016,089
Factor Arrows
31,005,363
Factor Arrows
3335,121
Factor Arrows
3111,707
Factor Arrows
176,571

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, 17, 6571

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 17 x 6,571 = 81,434,403

This can also be written as 36 x 171 x 6,5711 = 81,434,403

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


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