Question

3375 Using prime factorization method, find which of the following are perfect square numbers.​

Answer 1

Step-by-step explanation:

perfect cube can be expressed as a product of three same numbers

Now by resolving the given number into prime factors we get,

3375 = 3 × 3 × 3 × 5 × 5 × 5

As we can group the above factors into three groups of cubes i.e. 3

3

, 5

3

We express it as, 3

3

× 5

3

=15

3

∴ 3375 is a perfect cube.