Q: What are the prime factors of the number 140,005,052?

 A: 2, 11, 31, 102643

Why are those the prime factors of the number 140,005,052?

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 140,005,052

140,005,052
Factor Arrows
270,002,526
Factor Arrows
235,001,263
Factor Arrows
113,181,933
Factor Arrows
31102,643

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, 11, 31, 102643

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 31 x 102,643 = 140,005,052

This can also be written as 22 x 111 x 311 x 102,6431 = 140,005,052

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


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