This quite amazing triangular palindrome, (a number that reads the same way backwards as forwards), can be developed entirely by the various products formed using only one digit: the number one.

We start off with the simplest possible product:

**1 x 1 = 1**

Any single digit is a trivial palindrome, so this product produces a palindrome.

Let’s extend to double digits of the number one.

**11 x 11 = 121**

This product is also a palindrome. Is there a pattern forming here?

Can you guess the product of triple digits of the number one?

**111 x 111 =?**

**Solution**

**111 x 111 = 12321**

We can represent the answers established so far in a triangular pattern.

**1 x 1 = 1**

**11 x 11 = 121**

**111 x 111 = 12321**

Complete six more iterations.

**Solution**