Is 1180 a perfect cube if not by which smallest natural number should 1188 be divided so that the quotient is a perfect cube?
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1188 = 2 × 2 × 3 × 3 × 3 × 11 Show
The primes 2 and 11 do not appear in groups of three. So, 1188 is not a perfect cube. In the factorisation of 1188, prime 2 appears only two times and the prime 11 appears once. 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 a perfect cube is 44. And the resulting perfect cube is 1188 ÷ 44 = 27 (= 33).
The world’s only live instant tutoring platform  Filo instant Ask button for chrome browser. Now connect to a tutor anywhere from the web Add to Chrome Question 1144 views Is 1188 a perfect cube? If not, by which smallest natural number should 1188 be divided so that the quotient is a perfect cube?Solution: Upvote • 151 Found the solution, but did not understand the concept?Connect with a tutor in less than 60 seconds 24x7 Ask my first questionFound the solution, but did not understand the concept?Connect with a tutor in less than 60 seconds 24x7 Ask my first questionAre you ready to take control of your learning?Download Filo and start learning with your favourite tutors right away! 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? Is 1180 a perfect cube?Guidelines for Special Tests - Clause 21.4 of IS 1180 (Part 1) refers to Special tests to be carried out by mutual agreement between the user and the supplier. Such Special tests are normally not required to be conducted for GoL/CSoL.
Is 1188 is a perfect cube if not by which smallest natural number should 1188 be divided so that the quotient is a perfect cube?If not, by which smallest natural number should 1188 be divided so that the quotient is a perfect cube? UPLOAD PHOTO AND GET THE ANSWER NOW! Solution : `1188 = 11xx3xx3xx3xx2xx2`
Thus, `1188` is not a perfect cube. If we divide it by `44(11xx2xx2)` it will be a perfect cube. Is 1188 a perfect cube if not then by which smallest natural number should 53240 be divided so that the quotient is a perfect cube?∴ The smallest number by which 53240 should be divided to make it a perfect cube is 5.
Is 6000 a perfect cube if not then by which smallest natural number?60006=1000 which is a perfect cube.
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