Q: What are the prime factors of the number 250,054,380?

 A: 2, 3, 5, 1389191

Why are those the prime factors of the number 250,054,380?

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 250,054,380

250,054,380
Factor Arrows
2125,027,190
Factor Arrows
262,513,595
Factor Arrows
320,837,865
Factor Arrows
36,945,955
Factor Arrows
51,389,191

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, 1389191

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 1,389,191 = 250,054,380

This can also be written as 22 x 32 x 51 x 1,389,1911 = 250,054,380

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


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