Q: What are the prime factors of the number 8,086,248?

 A: 2, 3, 19, 23, 257

Why are those the prime factors of the number 8,086,248?

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 8,086,248

8,086,248
Factor Arrows
24,043,124
Factor Arrows
22,021,562
Factor Arrows
21,010,781
Factor Arrows
3336,927
Factor Arrows
3112,309
Factor Arrows
195,911
Factor Arrows
23257

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, 19, 23, 257

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 19 x 23 x 257 = 8,086,248

This can also be written as 23 x 32 x 191 x 231 x 2571 = 8,086,248

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


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