Q: What are the prime factors of the number 235,166,848?

 A: 2, 7, 17, 15439

Why are those the prime factors of the number 235,166,848?

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 235,166,848

235,166,848
Factor Arrows
2117,583,424
Factor Arrows
258,791,712
Factor Arrows
229,395,856
Factor Arrows
214,697,928
Factor Arrows
27,348,964
Factor Arrows
23,674,482
Factor Arrows
21,837,241
Factor Arrows
7262,463
Factor Arrows
1715,439

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, 17, 15439

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 17 x 15,439 = 235,166,848

This can also be written as 27 x 71 x 171 x 15,4391 = 235,166,848

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


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