Question

13. Find a four digit number that is divisible by 3,
5, and 8.

Answer 1

1200

Explanation:

You want a 4-digit number divisible by 3, 5, 8.

Least common multiple

The least common multiple of these relatively prime factors is ...

3·5·8 = 120

Other multiples

A 4-digit number will lie between 1000 and 9999. The multiples of 120 in that range are between 9·120 = 1080 and 83·120 = 9960. An easy multiple of 120 that is 4-digits is 120·10 = 1200.

1200 is a 4-digit number divisible by 3, 5, 8.

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