# Math

posted by .

What is the smallest counting number n so that 375n is a perfect square?

• Math -

375n
= (25)(15)(n)
= (5x5)(15 x n)

to have a perfect square, each of my brackets must be a pair of same numbers.
I need a 15 in my second bracket

so n = 15

## Similar Questions

1. ### Algebra

what is a perfect square number i know 9, 25 and 100, but what else if you multiply a perfect square by a perfect square, is the answer always a perfect square
2. ### math

The number 1 is a perfect square and a perfict cube. What is the next smallest whole number which is a perfect square and a perfect cube?
3. ### math

The number 1 is a perfect square (1X1=1) and a perfect cube (1X1X1=1). What is the next smallest whole number which is both a perfect square and a perfect cube?
4. ### Math

Which numbers are perfect squares? A) 64 b)900 c)120 d)1000 e)100 F) 10 000 How do u know each number is a perfect square?
5. ### maths

find the smallest natural number which when added to the difference of square of 17 and 13 gives a perfect square.
6. ### Math

what is the smallest number that 54 can be multiplied by to give a perfect square?