Question

Is 128 a perfect cube?? ​

Answer 1

Answer:

128 is not perfect cube

Answer 2

Question

Is 128 a perfect cube? ​

$\rule{300}{1}$

Answer

To see if 128 is a perfect cube we need to prime factorize it.

$\begin{array}{r | l} 2 & 128 \\ \cline{2-2} 2 & 64 \\ \cline{2-2} 2& 32 \\ \cline{2-2} 2& 16\\ \cline{2-2} 2&8 \\ \cline{2-2} 2&4 \\ \cline{2-2}&2\\ \end{array}$

128 = 2×2×2×2×2×2×2

Now, we'll group the product of primes with 3 in each group.

(2×2×2)×(2×2×2)×2

Since one of the '2' is left out we can say that 128 is not a perfect cube.

$\rule{300}{1}$

Additional Information

The product obtained after multiplying a number three times to itself is known as cube.

When we find these numbers that make a cube we are basically finding the cube root.

Any number raised to the power 3 is known to be a cube.

This is the cube root symbol ⇒ ∛

We can find the cube root using prime factorization method.