WebWith what least number must 8640 be divided so that the quotient is a perfect cube?The … Web1 nov. 2015 · 8640 = 2*2*2*2*2*2*3*3*3*5 = (2*2*2)*(2*2*2)*(3*3*3)*(5)to make it perfect …
Did you know?
WebIt is quite simple to find both the perfect squares and the number of divisors divisible by … Web15 sep. 2024 · Write true (T) or false (F) for the following statements: (i) 392 is a perfect …
WebThe divisors of 160000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 128, 160, 200, 250, 256, 320, 400, 500, 625, 640, 800, 1000, 1250, 1280, 1600, 2000, 2500, 3200, 4000, 5000, 6400, 8000, 10000, 16000, 20000, 32000, 40000, 80000, 160000 and the sum of them is 399091. WebWhat is the perfect cube of 8640? Is 8000 a perfect cube? What is the smallest number …
Web5 feb. 2024 · How many divisors of 21,600 are perfect squares? Solution: Let's do … Web16 aug. 2024 · How many positive integer divisors of are perfect squares or perfect cubes (or both)? Solution 1 Prime factorizing , we get . A perfect square must have even powers of its prime factors, so our possible choices for our exponents to get perfect square are for both and . This yields perfect squares.
Web8 apr. 2024 · This perfect cube is smaller than 8640. So, we will consider the next perfect cube which is-${21^3} = 21 \times 21 \times 21 = 9261$ We can see that the number 8640 lies between these two successive perfect cubes. So it is not a perfect cube. In option D, the number is 8000. We can clearly get a hint that it is a cube of a number who has 0 as ...
WebTo solve this problem, let us start with dividing this number with 2,3,4,5 and so on till we … how big is althorpWebHow many positive divisors that are perfect cubes does \( n \) have? A) 360 C) 48 E) … how big is altuveWebFind the smallest positive integer n such that n=2 is a perfect square, n=3 is a perfect … how many notes in indian musicWebHere, we can see all 2's and 3's are forming a triplet, but 5 does not. Clearly, 8640 must … how big is altisWebHowever, when we come at number 4, we know that its divisors are 1, 2, and 4. So, the number 4 satisfies the criteria of a composite number. Therefore, 4 is the smallest composite number. Difference Between Prime and Composite Numbers A number that is divisible by a number other than 1 and the number itself, is called a composite number. how big is altair compared to the sunWebSolution: If a number is a perfect cube, then the power of the prime factors should be divisible by 3. Hence perfect cube factors must have. 2 (0 or 3 or 6or 9) —– 4 factors. 3 (0 or 3 or 6) —– 3 factors. 5 (0 or 3) ——- 2 factors. 11 (0 or 3 or 6 ) — 3 factors. Hence, the total number of factors which are perfect cube 4x3x2x3=72. how many notes does the clarinet haveWebHow many factors does 84000 84000 have? It can be very difficult to solve this by listing the factors out. We can solve this by prime factorization. The prime factorization of 84000 84000 is 2 \times 2 \times 2\times 2 \times 2 \times 3 \times 5 \times 5 \times 5 \times 7=2^5 \times 3^1 \times 5^3 \times 7^1. 2×2×2×2× 2×3×5×5 ×5×7 = 25 ×31 ×53 ×71. how many notes can be played on a bugle