Q: What are the prime factors of the number 141,020,010?

 A: 2, 3, 5, 1566889

Why are those the prime factors of the number 141,020,010?

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 141,020,010

141,020,010
Factor Arrows
270,510,005
Factor Arrows
323,503,335
Factor Arrows
37,834,445
Factor Arrows
51,566,889

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, 1566889

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 1,566,889 = 141,020,010

This can also be written as 21 x 32 x 51 x 1,566,8891 = 141,020,010

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


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