SOLUTION: A “simple square” is any integer greater than 1 that has only three positive integer factors—itself,its square root, and 1. Which of the following is a simple square? A. 121 B.

Algebra.Com
Question 338592: A “simple square” is any integer greater than 1 that has only three positive integer factors—itself,its square root, and 1.
Which of the following is a simple square?
A. 121 B. 100 C. 81 D. 64 E. 33

Found 2 solutions by Edwin McCravy, CharlesG2:
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
A. 121 B. 100 C. 81 D. 64 E. 33

121 has only the factors 1, 11 (itself), and its square root, 11.  
So that's the correct answer.

100 has factors 1,2,4,5,10,20,25,50, and 100. So that's not it.

81 has factors 1,3,9,27, and 81, so that's not it.

64, has factors 1,2,4,8,16,32, and 64, so that's not it.

33 isn't even a square at all, and has factors 1,3,11, and 33, so that's
not it.

Edwin

Answer by CharlesG2(834)   (Show Source): You can put this solution on YOUR website!
A “simple square” is any integer greater than 1 that has only three positive integer factors—itself,its square root, and 1.
Which of the following is a simple square?
A. 121 B. 100 C. 81 D. 64 E. 33


factor each of the choices
121 = 11^2 = 1 * 121 = 1 * 11 * 11 (3 positive integer factors)
100 = 10^2 = 2^2 * 5^2 = 1 * 4 * 25 = 1 * 2 * 2 * 5 * 5
81 = 9^2 = 1 * 3 * 27 = 1 * 3 * 3 * 3 * 3
64 = 8^2 = 2^2 * 4^2 = 1 * 8 * 8 = 1 * 2 * 2 * 2 * 2 * 2 * 2
33 = 1 * 3 * 11
33 is not a product of a whole number times itself like the other choices


the answer is A. 121

RELATED QUESTIONS

twenty three times a positive integer is more than its square by 63. find the... (answered by Fombitz)
Find three consecutive negative integers such that the product of the first two is 26... (answered by ankor@dixie-net.com)
If twice the square of a positive integer is 12 more than 10 times that integer, what is... (answered by rmromero)
Twice the square of a positive integer is 35 more than 9 times that integer. What is the... (answered by jim_thompson5910)
Twice the square of a positive integer is 12 more than 10 times that integer. What is the (answered by edjones)
Consider any positive three-digit integer that has all of its digits distinct and none... (answered by ankor@dixie-net.com)
the sum of an integer and its square is 6 less than the square of the next greater... (answered by bam878s)
I'm really stuck, please help? Thanks! Here's the question A prime number is an... (answered by math_tutor2020,greenestamps,MathLover1)
A proper divisor of a positive integer is a positive integral divisor other than 1 and... (answered by richard1234)