Which smallest natural number should divide 118 8th so that the quotient is a perfect cube?
|
Q. Check whether 24x3y2 is a perfect cube or not. If not, find the smallest number by which it should be divided to make it a perfect cube. Also, find the cube root of the perfect cube number so obtained. Show
Home The smallest number with which 1188 should be divided to get a perfect cube is Question A 44 Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses B 54 No worries! We‘ve got your back. Try BYJU‘S free classes today! C 24 No worries! We‘ve got your back. Try BYJU‘S free classes today! Open in App Solution The correct option is A 44By prime factorisation, 311883396313224422211 1188=3×3×3×2×2×11 =33×22×11 =33×44 If we divide the given number by 44, the resultant will be a perfect cube. 118844 = 27 = 33Suggest Corrections 14 Similar questions Q. The smallest number with which 1188 should be divided to get a perfect cube is Q. Is 1188 a perfect cube ? If not, by which smallest natural number should 1188 be divided so that the quotient is a perfect cube ? Q. Is 9720 a perfect cube? If not, find the smallest number by which it should be
divided to get a perfect cube. Q. Question 99 Solve the following question: Is 9720 a perfect cube? If not, find the smallest number by which it should be divided to get a perfect cube. Q. With what number should 1715 be divided to get a perfect cube? Which smallest natural number should divide 1188 so that the question is a perfect cube?Thus, the required smallest number is 44.
IS 118 is a perfect cube?If we look at the number 118, we know that the cube root is 4.904868131524, and since this is not a whole number, we also know that 118 is not a perfect cube.
Which is smallest natural number should divide 1188 so that the quotient is a perfect cube?So, if we divide 1188 by 2 × 2 × 11 = 44, then the prime factorisation of the quotient will not contain 2 and 11. Hence the smallest natural number by which 1188 should be divided to make it a perfect cube is 44. And the resulting perfect cube is 1188 ÷ 44 = 27 (=33 ).
How do you find the smallest number to be divided to get a perfect cube?Prime factorising 81, we get,. We know, a perfect cube has multiples of 3 as powers of prime factors.. Here, number of 3's is 4.. So we need to divide the factorization by 3 to make 81 a perfect cube.. Hence, the smallest number by which 81 must be divided to obtain a perfect cube is 3.. |
