Question

Which perfect square divides evenly into the number 867?

289

324

196

121

Answer 1

The perfect square that divides evenly into the number 867 is 196.

Answer 2

(a) 289

Explanation:

You want to know the perfect square divisor of 867.

Parity

The number 867 is an odd number. This means all of its divisors will be odd. (Eliminates choices B and C.)

Divisors

We notice the sum of digits of 867 is 21, a multiple of 3, so one of the prime factors of 867 is 3. Dividing 867 by 3, we get 289.

The perfect square 289 divides evenly into 867, choice A.

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