Q: What are the prime factors of the number 235,048,860?

 A: 2, 3, 5, 61, 21407

Why are those the prime factors of the number 235,048,860?

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 235,048,860

235,048,860
Factor Arrows
2117,524,430
Factor Arrows
258,762,215
Factor Arrows
319,587,405
Factor Arrows
36,529,135
Factor Arrows
51,305,827
Factor Arrows
6121,407

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, 61, 21407

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 61 x 21,407 = 235,048,860

This can also be written as 22 x 32 x 51 x 611 x 21,4071 = 235,048,860

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


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