Q: What are the prime factors of the number 235,055,548?

 A: 2, 7, 13, 92251

Why are those the prime factors of the number 235,055,548?

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 235,055,548

235,055,548
Factor Arrows
2117,527,774
Factor Arrows
258,763,887
Factor Arrows
78,394,841
Factor Arrows
71,199,263
Factor Arrows
1392,251

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, 7, 13, 92251

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 7 x 13 x 92,251 = 235,055,548

This can also be written as 22 x 72 x 131 x 92,2511 = 235,055,548

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


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