Question

the smallest number to multiply to3300 to get a perfect cube

Answer 1

Answer:

We see that,

1125 = 3 × 3 × 5 × 5 × 5

Since 3 does not occur triplets,

we multiply by 3 to make a triplet

So, our number becomes

1125 × 3 = 3 × 3 × 5 × 5 × 5 × 3

= 3 × 3 × 3 × 5 × 5 × 5

Now, it becomes a perfect cube.

So, we multiply 1125 by 3 to make it a perfect cube

Answer 2

Answer:

10890.

Step-by-step explanation:

Number => 3300

Prime factorization of 3300 =2 * 2 * 3 * 5 * 5 * 11

As we want a perfect cube, we need all the prime factors to be in pairs of 3 and as we want the smallest number to be multiplied, all prime factors should be 3 in number.

So,

number required = 2 * 3 * 3 * 5 * 11 * 11

number required = 10890.

Hope IT HELPS!!!