How many divisors does 5040 have
WebJan 25, 2015 · It has 1, 2, 3, 4, 6, 12 as its divisors; so, total number of divisors of 12 is 6. Now the method I learned: x = p 1 a p 2 b, where p 1 and p 2 are prime numbers. Now, x … WebHow many divisors does the number \( 2000\) have? We have \( 2000 = 2^4 5^3\). Hence, from the above discussion, it has \( (4+1)(3+1)=20\) divisors. \(_\square\) Note: We can list them out as 1, 2, 4, 8, 16, 5, 10, 20, 40, 80, 25, 50, 100, 200, 400, 125, 250, 500, 1000, 2000. (Can you see why we listed out the divisors this way, instead of in ...
How many divisors does 5040 have
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WebThis GMAT Sample Math question is a Number Properties problem solving question and the concept covered is finding the number of factors or integral divisors of a number. A GMAT 650 to 700 level practice question. Question 6: How many integral divisors does the number 120 have? 14; 16; 12; 20; None of these WebA highly composite number (or anti-prime) is a positive integer with more divisors than any smaller positive integer has. The term was coined by Ramanujan (1915). However, Jean-Pierre Kahane has suggested that the concept might have been known to Plato, who set 5040 as the ideal number of citizens in a city as 5040 has more divisors than any …
WebDec 16, 2009 · How many more factors does 5040 have than the number you found as your answer to the first problem? The prime factorization of 5040 is 2. 4. ... (HCN) is a positive integer with more divisors than any smaller positive integer. Plato considered the HCN 5040 to be an ideal number for dividing things – such as citizens WebJan 20, 2024 · It does have 20 divisors, 2^0, 2^1, ... 2^19. But each time you add a 2 to the factors of your number you only get ONE MORE divisor. Not a very good deal if you ask …
WebThe tables below list all of the divisors of the numbers 1 to 1000.. A divisor of an integer n is an integer m, for which n/m is again an integer (which is necessarily also a divisor of n).For example, 3 is a divisor of 21, since 21/7 = 3 (and therefore 7 is also a divisor of 21). If m is a divisor of n then so is −m.The tables below only list positive divisors. WebProblem. For some positive integer , the number has positive integer divisors, including and the number .How many positive integer divisors does the number have?. Solution 1. Since the prime factorization of is , we have that the number is equal to .This has factors when .This needs a multiple of 11 factors, which we can achieve by setting , so we have has …
WebJan 20, 2024 · So 60, 72, 90, and 96 all have the most possible divisors, which is 12. For the same problem, but up to 1,000,000 rather than just 100, see this long discussion: Multiple Personality Numbers
WebOct 30, 2024 · 5040 is divisible by what number/s? - 5999846. Step-by-step explanation: Divisibility of 5040. The number 5,040 is divisible by 2, 3, 4, 5, 6, 7, 8 and 9. desk chair causing shoulder painWebAnswer The factors of 5040 are: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 105, 112, 120, 126, 140, 144, 168, 180, … chuck letter to jimmyWebMar 12, 2015 · 5040 is a very practical number, being divisible by 1-12, except 11. There are only ten of these rare numbers below a million, and it just so happens that the combined … desk chair causing back painWebWhat is the smallest positive integer with exactly 12 divisors? Solution Verified Step 1 1 of 7 DEFINITIONS desk chair clearance neededWebJan 24, 2024 · There are 24 factors of the number 7540. 15802 Prime Factorization - 2 (7901) Modify exponents - 2, 2 Multiply. There are four factors of the number 15802 - 1, 2, 7901, 15802. 7901 is a prime number. Tips The reason you add one to each exponent is the possibility of a number to the zeroth power. chuckle \u0026 roar 10 pin kids bowling set• 5040 has exactly 60 divisors, counting itself and 1. • 5040 is the largest factorial (7! = 5040) that is also a highly composite number. All factorials smaller than 8! = 40320 are highly composite. • 5040 is the sum of 42 consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61 + 67 + 71 + 73 + 79 + 83 + 89 + 97 + 101 + 103 + 107 + 109 + 113 + 127 + 131 + 137 + 139 + 149 + 151 + 157 +163 + 167 + 173 + 179 + 181 + 191 + 193 + 197 + 199 + 211 + 223 + 227 + 229). desk chair counter heightWebJan 7, 2024 · How many odd, positive divisors does 540 have? A. 6 B. 8 C. 12 D. 15 E. 24 Kudos for correct solution. desk chair casters long stem