Q: What are the prime factors of the number 140,240,040?

 A: 2, 3, 5, 433, 2699

Why are those the prime factors of the number 140,240,040?

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 140,240,040

140,240,040
Factor Arrows
270,120,020
Factor Arrows
235,060,010
Factor Arrows
217,530,005
Factor Arrows
35,843,335
Factor Arrows
51,168,667
Factor Arrows
4332,699

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, 5, 433, 2699

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 433 x 2,699 = 140,240,040

This can also be written as 23 x 31 x 51 x 4331 x 2,6991 = 140,240,040

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


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