Here is a relatively easy number properties problem solving question.

Question

What is the largest 3 digit number to have an odd number of factors?

A. 729

B. 943

C. 625

D. 961

E. 841

Correct Answer : Choice D. 961

Explanatory Answer

A perfect square has an odd number of factors.

Of the numbers in the list, the largest 3 digit perfect square is 961 (31^{2}).

Hence, Choice D is the correct answer.

Question

What is the largest 3 digit number to have an odd number of factors?

A. 729

B. 943

C. 625

D. 961

E. 841

Correct Answer : Choice D. 961

Explanatory Answer

A perfect square has an odd number of factors.

Of the numbers in the list, the largest 3 digit perfect square is 961 (31

Hence, Choice D is the correct answer.

Labels: divisors, factors, GMAT Number Properties, GMAT Number Theory, GMAT Numbers