SOLUTION: The area of a rectangle is 991 cm2. If 991 is a prime number, what are the whole number dimensions of the rectangle? Explain your reasoning.

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: The area of a rectangle is 991 cm2. If 991 is a prime number, what are the whole number dimensions of the rectangle? Explain your reasoning.      Log On


   

Question 1165070: The area of a rectangle is 991 cm2. If 991
is a prime number, what are the whole
number dimensions of the rectangle?
Explain your reasoning.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39630) About Me  (Show Source):
Answer by ikleyn(52879) About Me  (Show Source):
You can put this solution on YOUR website!
.

991 really is a prime number (see, for example, this table of prime numbers

https://www.google.com/search?q=prime+numbers+up+to+1000&rlz=1C1CHBF_enUS910US910&oq=prime+numbers&aqs=chrome.0.69i59j69i57j0l3j69i61l3.7922j0j7&sourceid=chrome&ie=UTF-8 )



So, 991 can be factored by only one way as a product of two positive integer numbers 991 = 1*991.


Since the area of the rectangle is  991 cm^2, the dimensions of the rectangle, that are positive integers by the condition,

can only be 1 cm and 991 cm.

Solved.