Q: What are the prime factors of the number 51,705,984?

 A: 2, 3, 11, 12241

Why are those the prime factors of the number 51,705,984?

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 51,705,984

51,705,984
Factor Arrows
225,852,992
Factor Arrows
212,926,496
Factor Arrows
26,463,248
Factor Arrows
23,231,624
Factor Arrows
21,615,812
Factor Arrows
2807,906
Factor Arrows
2403,953
Factor Arrows
3134,651
Factor Arrows
1112,241

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, 11, 12241

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 12,241 = 51,705,984

This can also be written as 27 x 31 x 111 x 12,2411 = 51,705,984

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


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