Q: What are the prime factors of the number 63,541,422?

 A: 2, 3, 7, 137, 409

Why are those the prime factors of the number 63,541,422?

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 63,541,422

63,541,422
Factor Arrows
231,770,711
Factor Arrows
310,590,237
Factor Arrows
33,530,079
Factor Arrows
31,176,693
Factor Arrows
3392,231
Factor Arrows
756,033
Factor Arrows
137409

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, 7, 137, 409

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 7 x 137 x 409 = 63,541,422

This can also be written as 21 x 34 x 71 x 1371 x 4091 = 63,541,422

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


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