Q: What are the prime factors of the number 250,745,340?

 A: 2, 3, 5, 41, 101929

Why are those the prime factors of the number 250,745,340?

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 250,745,340

250,745,340
Factor Arrows
2125,372,670
Factor Arrows
262,686,335
Factor Arrows
320,895,445
Factor Arrows
54,179,089
Factor Arrows
41101,929

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, 41, 101929

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 41 x 101,929 = 250,745,340

This can also be written as 22 x 31 x 51 x 411 x 101,9291 = 250,745,340

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


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