Q: What are the prime factors of the number 62,640,054?

 A: 2, 3, 14321

Why are those the prime factors of the number 62,640,054?

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 62,640,054

62,640,054
Factor Arrows
231,320,027
Factor Arrows
310,440,009
Factor Arrows
33,480,003
Factor Arrows
31,160,001
Factor Arrows
3386,667
Factor Arrows
3128,889
Factor Arrows
342,963
Factor Arrows
314,321

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, 14321

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 3 x 3 x 14,321 = 62,640,054

This can also be written as 21 x 37 x 14,3211 = 62,640,054

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


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