Question

Place one digit on each side of ten to make a four-digit multiple of 72. The resulting number is _______.

A. 1
B. 3
C. 6
D. 9

Answer 1

To create a four-digit multiple of 72, place numbers on either side of ten to form 1072.

Step-by-step explanation:

To make a four-digit multiple of 72, we need to place one digit on each side of ten. The resulting number will be in the form of 10XY, where X and Y are digits.

Now, we know that 72 is divisible by 8. So, the last three digits (XY) must form a multiple of 8. The possible combinations of XY are 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96. However, when we check each of these combinations, only 72 is divisible by 8.

Therefore, the resulting number is 1072, which is a four-digit multiple of 72.