Q: What are the prime factors of the number 34,322,256?

 A: 2, 3, 23, 43, 241

Why are those the prime factors of the number 34,322,256?

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 34,322,256

34,322,256
Factor Arrows
217,161,128
Factor Arrows
28,580,564
Factor Arrows
24,290,282
Factor Arrows
22,145,141
Factor Arrows
3715,047
Factor Arrows
3238,349
Factor Arrows
2310,363
Factor Arrows
43241

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, 23, 43, 241

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 23 x 43 x 241 = 34,322,256

This can also be written as 24 x 32 x 231 x 431 x 2411 = 34,322,256

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


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