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whenever I start factoring a number I always start with the lowest Prime number and then go up. Start with 2
5100/2 = 2550
2550/2 = 1275 (this is not divisible by 2 so go to the next prime number... 3)
1275/3 = 425 (this is not divisible by 2 or 3 so go to the next prime number...5)
425/5 = 85 (this is not divisible by 2 or 3 so go to the next prime number... 5)
85/5 = 17 (this is a prime number so it can not be divide any more)
now take all the numbers you used to divide the larger number. These number will include... 2,2,3,5,5, and 17
these are all of the prime factors of 5100... 2x2x3x5x5x17=5100
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