The smallest number with exactly 14 divisors is 192. The divisors are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, and 192 itself.
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192
6, 8, 10, 14, 15
The number is 154.
This question is easy and just takes logic. All numbers have at least 2 divisors, 1 and itself. So for a number to have 3 divisors, it must be a square number, with no other divisors. So this rules out even numbers. Square numbers above 100 are: 11 x 11 = 121 12 x 12 = 144 13 x 13 = 169 14 x 14 = 196 And so on. Already we can rule out 14 x 14 and 12 x 12 because they give us even results. So now lets look at 121 and 169. There is nothing below 11 that can divide evenly into 121 (except one) so therefore our answer is 121. 8) This question is easy and just takes logic. All numbers have at least 2 divisors, 1 and itself. So for a number to have 3 divisors, it must be a square number, with no other divisors. So this rules out even numbers. Square numbers above 100 are: 11 x 11 = 121 12 x 12 = 144 13 x 13 = 169 14 x 14 = 196 And so on. Already we can rule out 14 x 14 and 12 x 12 because they give us even results. So now lets look at 121 and 169. There is nothing below 11 that can divide evenly into 121 (except one) so therefore our answer is 121. 8)
Range is the difference between the smallest and largest numbers.The smallest number here is 5.The largest number here 14.The difference is largest - smallest: 14 - 5 = 9The range is 9