WebThe number 735000 factors as 23.3.54.72. How many divisors does it have? Explain your answer using the multiplicative principle. This problem has been solved! You'll get a … WebWe can determine that 735000 has 144 divisors using the formula for the number of divisors. The multiplicative principle can be used to calculate the number of 735000's …
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WebJan 24, 2015 · It has 1, 2, 3, 4, 6, 12 as its divisors; so, total number of divisors of 12 is 6. x = p 1 a p 2 b, where p 1 and p 2 are prime numbers. Now, x has ( a + 1) ( b + 1) positive … 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.
Web- add 1 to each power [ (3 + 1), (2 + 1), (1 + 1)] - find the product of these numbers [4 3 2 = 24] Check this method with another number like 140. It's prime factorization is 2 x 2 x 5 x 7. … WebJul 8, 2016 · We can have at most four different prime divisors, as you said,because otherwise n > 2 ⋅ 3 ⋅ 5 ⋅ 7 ⋅ 11 = 2310. Also, we may assume that we have the smallest primes, i.e., n = 2 e 1 3 e 2 5 e 3 7 e 4 . So your method works well, and we obtain, after only cheking a few cases, d ( 1680) = d ( 2 4 ⋅ 3 ⋅ 5 ⋅ 7) = 5 ⋅ 2 ⋅ 2 ⋅ 2 = 40 as the maximum.
WebNumbers having exactly 3 divisors are perfect squares of prime numbers: 4, 9, 25, 49, etc. Example: 2^2 = 4, and 4 has three divisors {1,2,4} 3^2 = 9, and 9 has three divisors {1,3,9} 5^2 = 25, and 25 has three divisors {1,5,25} What are the numbers with exactly 5 divisors? WebWe have given The number 735000 factors as 735,000 = 2 3 × 3 × 5 4 × 7 2 View the full answer Final answer Transcribed image text: The number 735000 factors as 23 ⋅3⋅ 54 ⋅ 72 …
WebThe number 735000is a composite number because 735000 can be divided by one, by itself and at least by 2, 3, 5 and 7. A composite number is an integer that can be divided by at least another natural number, besides itself and 1, without leaving a remainder (divided exactly). The factorization or decomposition of 735000= 23•3•54•72.
WebTo calculate number of divisors, perform following steps: Find prime factors of number : 2. Number of divisors: [For 24, (3+1)* (1+1) = 4*2 = 8 ] For your question, To find even number of divisors: Number of even divisor i.e you take out one 2 … how much money is in mutual fundsWebHow 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 much money is in new zealandWebHow many divisors does it have?... Question: The number 735000 735000 factors as 23 ⋅3⋅54 ⋅72 2 3 ⋅ 3 ⋅ 5 4 ⋅ 7 2. How many divisors does it have? Explain your answer using the... how much money is in my gift cardWebJun 3, 2015 · I know that total number of divisor of a number n = p 1 a p 2 b p 3 c is ( a + 1) ∗ ( b + 1) ∗ ( c + 1) where a, b, c are the powers of a number n and 1 < n < 100000. But how to calculate total number of divisiors for n! algebra-precalculus number-theory elementary-number-theory factorial prime-factorization Share Cite Follow how do i see what\u0027s taking up space on my pcWebJun 29, 2024 · Help! 0. 558. 2. +34. How many positive divisors do 840, 960, and 1200 have in common? Possible Jun 29, 2024. how do i see what\u0027s plugged into my usb portsWebUsing the multiplicative principle, we can find the total number of divisors as: (3+1) x (1+1) x (4+1) x (2+1) = 4 x 2 x 5 x 3 = 120 Step 3/3 Therefore, there are 120 divisors of 735000. … how much money is in healthcareWebDivisors Calculator. Enter number. Input a positive integer and this calculator will calculate: • the complete list of divisors of the given number. • the sum of its divisors, • the number of divisors. how much money is in sports betting