Q: What are the prime factors of the number 140,411,020?

 A: 2, 5, 61, 71, 1621

Why are those the prime factors of the number 140,411,020?

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 140,411,020

140,411,020
Factor Arrows
270,205,510
Factor Arrows
235,102,755
Factor Arrows
57,020,551
Factor Arrows
61115,091
Factor Arrows
711,621

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, 61, 71, 1621

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 61 x 71 x 1,621 = 140,411,020

This can also be written as 22 x 51 x 611 x 711 x 1,6211 = 140,411,020

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


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