Q: What are the prime factors of the number 234,245,104?

 A: 2, 59, 248141

Why are those the prime factors of the number 234,245,104?

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 234,245,104

234,245,104
Factor Arrows
2117,122,552
Factor Arrows
258,561,276
Factor Arrows
229,280,638
Factor Arrows
214,640,319
Factor Arrows
59248,141

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, 59, 248141

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 59 x 248,141 = 234,245,104

This can also be written as 24 x 591 x 248,1411 = 234,245,104

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


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