Question

The smallest number by which 3087 must be divided so that the the the quotient is a perfect cube.

Answer 1

Step-by-step explanation:

first of all we have to find out the prime factorisation of 3087

As 3 × 3 does not form triplets

therefore 3087 should be divided by 3 × 3 i.e 9 to make it perfect cube

Answer 2

Step-by-step explanation:

✿ Resolve 3087 into prime factors.

$\mathtt{3087 =3 \times 3 \times 7 \times 7 \times 7 }$

On grouping the factors, we find that 3×3 is left out .

So we divide 3087 by 3×3 = 9

the quotient then would be 7×7×7, which is a perfect cube.

i.e 3087 must be divided by 9 so that the quotient becomes a perfect cube .

i hope it helps you

# be brainly

Answer 3

Step-by-step explanation:

✿ Resolve 3087 into prime factors.

$\mathtt{3087 =3 \times 3 \times 7 \times 7 \times 7 }$

On grouping the factors, we find that 3×3 is left out .

So we divide 3087 by 3×3 = 9

the quotient then would be 7×7×7, which is a perfect cube.

i.e 3087 must be divided by 9 so that the quotient becomes a perfect cube .

i hope it helps you

# be brainly