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I got 583 the following way :

4664 / 2 = 2332 -- even

2332 / 2 = 1166 -- even

1166 / 2 = 583 -- ODD so this must be it, since we took out the smallest possiblefactor of 2 each time

So 8 x 583 = 4664

Two smaller odd factors are the factors of 583 itself, which are 11 and 53 -- both prime numbers

The full prime factors of 4664 are 2^3 x 11 x 53

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13y ago

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4664 = 23*11*53. The greatest odd factor is 11*53 = 583. All I did was take out all the twos. The same thing is accomplished if you grab a calculator, punch in 4664 and divide by 2 until you get an odd number.


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