Q: What are the prime factors of the number 51,081,940?

 A: 2, 5, 7, 13, 17, 127

Why are those the prime factors of the number 51,081,940?

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 51,081,940

51,081,940
Factor Arrows
225,540,970
Factor Arrows
212,770,485
Factor Arrows
52,554,097
Factor Arrows
7364,871
Factor Arrows
1328,067
Factor Arrows
132,159
Factor Arrows
17127

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, 5, 7, 13, 17, 127

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 13 x 13 x 17 x 127 = 51,081,940

This can also be written as 22 x 51 x 71 x 132 x 171 x 1271 = 51,081,940

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


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