#math trivia #163 solution

The next number with three different digits where two divide into the other is 182.

Several numbers in between satisfy the divisibility requirement, but the digits are not distinct:  166, 171, 177, 181.

Because the “other” digit must have two distinct, smaller divisors, the only possible values it can have are 4, 6, 8 and 9.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s