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To find the prime factors, start dividing by the smallest prime, which is 2

4004 = 2*2002

4004 = 2*2*1001

1001 is odd so no more 2's. Not divisible by 3 or 5 either. Next try 7

1001 = 7*143 bingo!

So 4004 = 2*2*7*143

143 not divisible by 7, so try 11:

143 = 11*13 bingo again

Finally

4004 = 2*2*7*11*13

To get ALL the factors you have to find ALL the combinations of the primes. For instance 2*7*11 = 154 is one such combination that yields one of the factors of 4004. There are too many to list.

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Q: What are the factors and prime factors of 4004?
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