Q: What are the prime factors of the number 104,667,276?

 A: 2, 3, 7, 19, 65581

Why are those the prime factors of the number 104,667,276?

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 104,667,276

104,667,276
Factor Arrows
252,333,638
Factor Arrows
226,166,819
Factor Arrows
38,722,273
Factor Arrows
71,246,039
Factor Arrows
1965,581

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, 3, 7, 19, 65581

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 19 x 65,581 = 104,667,276

This can also be written as 22 x 31 x 71 x 191 x 65,5811 = 104,667,276

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


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