Question

By which smallest number must 5400 be multiplied to make it a perfect cube

Answer 1

Answer:hope it helps you

Step-by-step explanation:Given:

Number = 5400

To Find:

Smallest number to be multiplied to make it a cube.

Solution:

Finding the prime factors of 5400

5400 = 2×3×3×3×2×2×5×5

Grouping them in the group of 3 5400 = (2×2×2) × (3×3×3) × 5 × 5

In the factors 2 is in pair, 3 is in pair, and 5 can be in a pair if it is multiplied by one more 5

Thus, to make a group of 3 for 5, we need to multiply 5400 by 5.

Answer: The smallest number which is to be multiplied is 5.

Answer 2

Hi! Here is your answer :

Find prime factors of 5400

5400=2×3×3×3×2×2×5×5

If we group them in the group of 3

5400=(2×2×2)×(3×3×3)×5×5

Here to make group of 3 for 5

We have to multiply 5400 by 5.

Answer is 5

Hence 5400 should be multiplied by 5 to make it a perfect cube,

Hope my answer helps you!

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