How many factors does the number $240$ have?(Only for JUNIOR
(Divisional olympiad 2013,Mymensingh)
A Easy One
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Please don't post problems (by starting a topic) in the "X: Solved" forums. Those forums are only for showcasing the problems for the convenience of the users. You can always post the problems in the main Divisional Math Olympiad forum. Later we shall move that topic with proper formatting, and post in the resource section.
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Prosenjit Basak
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Yesterday is past, tomorrow is a mystery but today is a gift.
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Mehfuj Zahir
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Re: A Easy One
প্রশ্নটা এরকম ছিল না ।
সর্বোচ্চ কত গুলো ভিন্ন ভিন্ন সংখ্যার লসাগু 240 হতে পারে ?
Find the maximum number of the different integers that the lcm of them is 240?
সমাধান একই কিন্তু উপস্থাপনটা আলাদা ।
সর্বোচ্চ কত গুলো ভিন্ন ভিন্ন সংখ্যার লসাগু 240 হতে পারে ?
Find the maximum number of the different integers that the lcm of them is 240?
সমাধান একই কিন্তু উপস্থাপনটা আলাদা ।
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Perseus n Harry
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Re: A Easy One
The answer is $14$(I dont recall such problem)
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Fahim Shahriar
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Re: A Easy One
(Not from Junior) but I want to say that 14 is not correct.
$240 = 2^4 \times 3 \times 5$
+1 their power and multiply. It will give you the number of factors as well as the answer of actual question.
$(4+1)(1+1)(1+1)=20$
$240 = 2^4 \times 3 \times 5$
+1 their power and multiply. It will give you the number of factors as well as the answer of actual question.
$(4+1)(1+1)(1+1)=20$
Name: Fahim Shahriar Shakkhor
Notre Dame College
Notre Dame College
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Prosenjit Basak
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Re: A Easy One
আসলে প্রশ্নটা কি আছিল মনে নাই। শুধু ধারণাটা ছিল। তার ওপর ভিত্তি করেই ques টা করেছি।Mehfuj Zahir wrote:প্রশ্নটা এরকম ছিল না ।
সর্বোচ্চ কত গুলো ভিন্ন ভিন্ন সংখ্যার লসাগু 240 হতে পারে ?
Find the maximum number of the different integers that the lcm of them is 240?
সমাধান একই কিন্তু উপস্থাপনটা আলাদা ।
Yesterday is past, tomorrow is a mystery but today is a gift.
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Prosenjit Basak
- Posts:53
- Joined:Wed Nov 28, 2012 12:48 pm
Re: A Easy One
Agree with Fahim vai. The prime factorization of $240$ is:
$240 = 2^4 \times 3 \times 5$
The power of $2,3,4$ is $4,1,1$ respectively.But we have to add $+1$ with (as the power $0$ is also included) the powers.And then we got $(4+1)(1+1)(1+1)=20$.
So,$20$ is correct ans.
$240 = 2^4 \times 3 \times 5$
The power of $2,3,4$ is $4,1,1$ respectively.But we have to add $+1$ with (as the power $0$ is also included) the powers.And then we got $(4+1)(1+1)(1+1)=20$.
So,$20$ is correct ans.
Yesterday is past, tomorrow is a mystery but today is a gift.