Webb18 nov. 2024 · 12 = 2 2 3 is the smallest number with 6 divisors. This approach also generalizes. If h is the product of 2 primes, say h = pq where p ≥ q, then the smallest number with h divisors is 2 p-1 3 q-1. The divisors come from letting the exponent on 2 range from 0 to p -1 and letting the exponent on 3 range from 0 to q -1. WebbSolution. Number of the form paqbrc (where p, q and r are primes) has (a + 1) (b + 1) (c + 1) factors. So, if some number has 8 factors (a + 1) (b + 1) (c + 1) should be 8. 8 can be written as 8 or 4×2 or 2×2×2. Let us deduce the smallest possible number in each form. Therefore, smallest number that has exactly 8 factors = 24.
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Webbso that is 7 factor. then. 1,3 are the only factors of 3 and you already have 1. so that is another factor, making 8 factors, Then. 2*3=6 . 4*3=12. 8*3=24. 16*3=48. 32*3=96. 64*3=192. So that is another 6. Making 8+6=14 factors altogether. So 2^6*3 defiitely has 14 factors but I am not necessarily convinced that it is the smallest number with ... Webb14 sep. 2024 · The factors of 12 are 1, 2, 3, 4, 6, and 12, because each of those divides 12 without leaving a remainder (or, alternatively, each of those is a counting number that …
Webbför 10 timmar sedan · WIN PROB GM 1/2/5/7 GM 3/4/6 SERIES Lightning 49% +150 -108 +142 Maple Leafs 51% -122 +133 -116 The small advantages in goaltending, special teams, and late-season even-strength play suggest the ... Webb22 nov. 2024 · The numbers under 100 with most factors are 60=22⋅3⋅5, 84=22⋅3⋅7, 96=25⋅3 and 72=23⋅32, which all have 12 factors. What is the smallest number with 24 factors? JEE Question. But 24 can be written as the product of 2 or 3 or 4 factors.
Webb10 dec. 2024 · The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. Notice those are not all prime numbers, so we have to break it down further. When completing the process, we … Webb22 mars 2024 · Calculate the sequence where each term a n is the smallest natural number that has exactly n divisors. Task. Show here, on this page, at least the first 15 terms of the sequence. Related tasks. Sequence: smallest number greater than previous term with exactly n divisors; Sequence: nth number with exactly n divisors See also. OEIS:A005179
WebbThe smallest numbers that multiply together to get 36 are (2, 2, 3, 3). If you subtract one from each of them you get (1, 1, 2, 2). If you use these as indices for primes the smallest number you can get is which comes to 1260.
Webb14 apr. 2024 · -For smallest number the Prime number i.e. a, b, c etc must be as small as possible and - Exponents of Primes should be broken into parts which makes the … dvr not recordingWebbSpecifically, I'm curious about the smallest numbers that have 12 factors (edit: unique factors, that is) such that, when ordered from least to greatest, the greatest of these 12 factors is no more than (edit: I meant “strictly less than”) twice the least (there can be many other factors greater than and less than this cluster of 12 factors). crystal car hire belizeWebbSolution: L.C.M. of 8, 15 and 20 is 120. Prime factors of 120 = 2 x 2 x 2 x 3 x 5. Here, prime factors 2, 3 and 5 have no pair. Therefore 120 must be multiplied by 2 x 3 x 5 to make it a perfect square. \therefore120\times2\times3\times5=3600 ∴ 120×2×3× 5 = 3600. Hence, the smallest square number which is divisible by 8, 15 and 20 is 3600. dvr office locations wisconsinWebb24 maj 2024 · What is the smallest number with 36 factors? The smallest numbers that multiply together to get 36 are (2, 2, 3, 3). If you subtract one from each of them you get (1, 1, 2, 2). If you use these as indices for primes the smallest number you can get is 7^1 \times 5^1 \times 3^2 \times 2^2 which comes to 1260. What is the smallest factor of 12? dvr office locatorWebb14 sep. 2024 · This means that 60, 72, and 84 should be the smallest three numbers with 12 factors. ... The required smallest number with 10 different factors is 72. How many integer factors or divisors does the number 13 have? Important Notes. 13 has only two factors, 1 and 13. crystal car freshenerWebb7 maj 2024 · This means that 60, 72, and 84 should be the smallest three numbers with 12 factors. Let’s check! 60 has the factors (1,2,3,4,5,6,10,12,15,20,30,60), 12 of them! What is the least positive odd integer with exactly 12 factors? So 60 is the smallest number with 12 divisors. But Here I am stuck how to find smallest number having all odd divisors ... dvr offices milwaukeeWebb22 feb. 2024 · There was so much to notice as I complied a list of the first 12 smallest numbers that had just 1 factor, 2 factors etc. I liked thinking of the combinations that give us the factors of a number. I liked thinking about the fact that 60 has 12 factors because 3×2×2=12 (1 more than 2 × by 1 more than 1 × by 1 more than 1) and that 2 5 × 3 is ... crystal caring swindon