Question

What should be multiplied to 2200 to make it a perfect cube? Can anyone answer with steps plz?

Answer 1

Step-by-step explanation:

Nearest perfect cube to 2200 is 2744 AS 2197 is less than 2200.

Answer 2

Answer:

6655

Explanation:

Number Given :

2200

To Find :

The smallest number which should be divided by 22

Solution :

By Prime factorisation method,

$\begin{array}{r | l} 2 & 2200 \\ \cline{1-2} 2 & 1100 \\ \cline{1-2} 2 & 550 \\ \cline{1-2} 5 & 275 \\ \cline{1-2} 5 & 55 \\ \cline{1-2} 11 & 11 \\ \cline{1-2} 1 & 1 \end{array}$

$\sf{} Prime\ factors\ of\ 2200 = \underbrace{2 \times 2\times 2 }\times5 \times 5\times 11$

5 and 11 don’t have triplets

So,

5 × 11 × 11 × 11

→ 6655

Therefore,to make 2200 a perfect cube we have to multiply it by 6655.

☆Know more☆

• Perfect cube - It is a product of an integer multiplied by itself three times,
• Example => 2 × 2 × 2. In other words, the cube root of 8 is 2.