Find the only 4-digit integer which the product of its digits is equal to the first two digits of the number, and the sum of its digits is equal to the last two digits of the number. Or,

Let the 4-digit number be abcd

a.b.c.d = ab

a+b+c+d = cd

Where abcd, ab, and cd are integers and a.b.c.d is

**product**of digits.

If you can answer it correctly, can you find all the 5-digit integers which has similar property, the product of its digits is equal to the first

**three**digits of the number, and the sum of its digits is equal to the last two digits of the number?