Q: What are the prime factors of the number 235,006,480?

 A: 2, 5, 2937581

Why are those the prime factors of the number 235,006,480?

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 235,006,480

235,006,480
Factor Arrows
2117,503,240
Factor Arrows
258,751,620
Factor Arrows
229,375,810
Factor Arrows
214,687,905
Factor Arrows
52,937,581

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, 5, 2937581

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 2,937,581 = 235,006,480

This can also be written as 24 x 51 x 2,937,5811 = 235,006,480

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


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