Q: What are the prime factors of the number 140,031,040?

 A: 2, 5, 17, 25741

Why are those the prime factors of the number 140,031,040?

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 140,031,040

140,031,040
Factor Arrows
270,015,520
Factor Arrows
235,007,760
Factor Arrows
217,503,880
Factor Arrows
28,751,940
Factor Arrows
24,375,970
Factor Arrows
22,187,985
Factor Arrows
5437,597
Factor Arrows
1725,741

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, 17, 25741

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 5 x 17 x 25,741 = 140,031,040

This can also be written as 26 x 51 x 171 x 25,7411 = 140,031,040

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


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