question is find the smallest number by which each of the following numbers must be multiplied to obtain a perfect cube ok and the numbers are 243 25672 675 and hundred ok so let's solve the question now first number is 243 ok so first let's find out what is the prime factorization of 243 the smallest prime number is divided 243 3 and it will be 81 smallest prime number is divided 81 is 3 and it was 81 by 27 smallest prime number which divides 20783 20719 again the smallest prime number which divides 93 and it will be 3 Nadiya smallest prime number which divides 33 Show and it will be 1243 is equal to 3 into 3 into 3 into 3 into 3 ok now you see that if a number is a perfect cube or not we make the numbers the number software in plant Fertilizer and pair of these numbers into triplets ok 1888 of 3 Krish 3 Krish 3 is made now we can see that 1333 is late and does not occur in a triplet so to make 243 to obtain a perfect cube from 243 we should multiply 243 by 30 it will be know the number will be 3 Krish 3 Krish 3 Krish 3 Krish 3 Krish 3 Navratri Prasad 3 Krish 3 Krish 3 Krish 3 Krish 3 Krish 3 show the number which is 243 into 3 is a perfect cube not 243 number which is equal to 43 2 3 case number which is equal to 9 as 729 OK so the smallest number which must be multiplied to obtain a perfect cube is 3 ok now so is smallest number which should be multiply Vishva per multiplies 2243 to obtain a perfect cube is 3 ok Nadi second number is 256 ok are the prime factorization of 256 is the smallest number which divides 256 828128 again smallest number which divides 128 is to array to base64 in the smallest number which device 64 is to hear it will be 32 again the smallest number which divides 32 is to inherit will be 16 Nagin the smallest number which device is used to it will be it again this month that number is to be divided it's my 4 again the smallest prime number is to which provides format to and the smallest number which divides to is to hear it will be one not 256 is equal to 2 into 2 into 2 into 2 into 2 into 2 and 2 into 2 ok so that replace are 2 into 2 into 2 and 2 into 2 into 2 ok not to does not make se 8881 1 plate is missing ok this is too close to does not occur in a triplet so to make a perfect square sorry kyu to make automatic how to make a perfect cube multiply Tu buy 256 ok so it will be 256 into two which will be equal to 2 into 2 into 2 into 2 into 2 into 2 into 2 into 2 into 2 Aditya Plaza 2 into 2 into 2 into 2 into 2 and 2 into 2 into 2 OK so the smallest number which should be X 256 to obtain a perfect cube is to ok now that number is 72 ok no the prime factorization of 72 is smallest prime number which divides 72 is to it will be 36 again the smallest prime number is 23618 now the smallest prime number is divided in is to provide smallest prime number which divides 93 and help will be three know the smallest prime number is 3 32 ok 272 will be equal to 2 into 2 into 2 into 3 into 3 ok now that replacer 2 into 2 into 2 and we can see that does not ok so to obtain a perfect cube we will multiply 72 by 3 so this will become 2 into 2 into 2 into 3 into 3 into 3 ok now that replacer 2 into 2 into 2 and 3 into 3 into 3 OK so the smallest number which should be multiplied with 72 to obtain a perfect cube is three ok so smallest number which should be multiply we should we should be multiplied by 72 to obtain a perfect cube is to obtain a perfect you perfect cube is 3 ok so now the next number is this number is 675 ok so let's find out what is the prime factorization of 675 ok the smallest number write the smallest prime number which divides 675 is 3 which device is number by 2215 now again the smallest number is with the word to 25 by 75 now again the smallest prime number with device 75 is 3 and it will be 25 ok now this smallest prime number is why 25 is 5 and it will be fine now the smallest prime number is divided 5 is 5 and it will be 175 will can be written as 3 into 3 into 3 into 5 into 5 ok are the triplets 3 into 3 into 3 and we can see that five doesn't Kareena 888 show to obtain to obtain to obtain a perfect cube we multiply multiply 675 by 5 ok so to obtain a perfect cube we multiply 678596 75125 will be equal to 3 into 3 into 3 into 5 into 5 into 5 ok Nau Aditya Plaza 3 into 3 into 3 and 2 fights for the number obtained by 675 125 will be a perfect cube other next number is 100 find the prime factorization of hundred will be the smallest number which divides hundred is to a little bit 50 again the smallest prime number is divisible 5525 Nada smallest number which divides 25 is 5 and error 255 na smallest prime number with letter B 5 is 5 and Eric will be one ok hundred can be written as 2 into 2 into 5 into 5 ok now you can see that 2 and 5 does not occur in a triplet any number does not work in a triplet ok so to obtain a perfect square to obtain a perfect cube to obtain a perfect you multiply multiply 2 into 5 that is 10 with hundred ok Tumhen tubellite Naat 100 into 2 into 500 hundred hundred into 2 into 10 into 10 will be 2 into 2 into 5 into 5 into 5 ok so now here is considered 1888 is 2 into 2 into 2 and S to produce 5 into 5 into 5 ok so 102 10 perfect cube smallest number which should be multiplied by hundred to make to obtain a perfect cube is 10 so this is the answer thank you What should be multiplied to 4 to make perfect cube?Answer. 8 is the cube of 2. Hence 2 is the answer.
What is the smallest number by which 81 should be divided to make it a perfect square?Therefore 81 must be divided by 3 to make it a perfect cube. Q. Q.
Is 5184 a perfect cube?We find that in 5184 one '3' is ungrouped. Thus, to convert 5184 to a perfect cube, we need to multiply it by 3×3=9. Q. Q.
Which smallest number Must 4400 be multiplied to make it a perfect cube?Hence, 4400 should be multiplied with 2420 to make it a perfect cube of 10648000. The smallest number 4400 can be multiplied to make it a perfect cube is 2420.
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