Q: What are the prime factors of the number 140,141,346?

 A: 2, 3, 23, 1015517

Why are those the prime factors of the number 140,141,346?

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 140,141,346

140,141,346
Factor Arrows
270,070,673
Factor Arrows
323,356,891
Factor Arrows
231,015,517

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, 23, 1015517

We can check our work by multiplying all of the prime factors together: 2 x 3 x 23 x 1,015,517 = 140,141,346

This can also be written as 21 x 31 x 231 x 1,015,5171 = 140,141,346

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


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