The square of any prime number has exactly three factors: 22, 32, 52, etc.
22
26
Try 26 whose factors are: 1, 2, 13 and 26
88 has exactly eight factors (1, 2, 4, 8, 11, 22, 44 & 88)
22
A "factor" is a number that divides exactly into a larger number Common factors mean common to both numbers Factors of 22 are 1,2,11,22 Factors of 26 are 1,2,13,26 As far as I can see the largest common factor for 22 and 26 is 2
440 sq ft. exactly the formula 22 x 20 = 440
The Answer Is Actually 26 not 24 Because The Factors Of 24 Are: 1,2,4,6,12 and 24 Where as 26 Has: 1,2,13, 26!
I presume you want the numbers that divide 110 exactly (namely its factors):The factors of 110 are: 1, 2, 5, 10, 11, 22, 55, 110.
Write the prime factors as powers. In a square number, each prime number appears an even number of times - i.e., an even power. Examples: 4 = 22 (even power, this is a square) 144 = 24 x 32 (all powers are even, this is a square) 12 = 22 x 3 or 22 x 31 (3 has an odd power so it is not a square) (If a number is a perfect square, that is equivalent to saying that its square root is a whole number.) * * * * * In this case there is a particularly fast method. The number ends in 0 so 10 must be a factor of the number. That is to say, 2 and 5 must be prime factors of the number. If it is a square then 22 and 52 must be factors of the number ie 22 x 52 = 100 must be a factor. But if 100 is a factor, the number must end in 00. It does not so it cannot be a square.
Both 25 and 4 are factors of 100 and are square numbers, 25 is 52 and 4 is 22. 100 and 1 are also factors of 100, and are also square numbers: 1 is 12 and 100 is 102.