Q: What are the prime factors of the number 140,630,445?

 A: 3, 5, 211, 4937

Why are those the prime factors of the number 140,630,445?

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 140,630,445

140,630,445
Factor Arrows
346,876,815
Factor Arrows
315,625,605
Factor Arrows
35,208,535
Factor Arrows
51,041,707
Factor Arrows
2114,937

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:

3, 5, 211, 4937

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 211 x 4,937 = 140,630,445

This can also be written as 33 x 51 x 2111 x 4,9371 = 140,630,445

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


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