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শেষ ৩টি অঙ্ক কত?

Posted: Wed Mar 06, 2019 12:18 pm
by math_hunter
1x2x3x4x5x.....x2018 এর শেষ তিনটি অঙ্ক কত? (একক, দশক, শতক) :?: :?: :?:

Re: শেষ ৩টি অঙ্ক কত?

Posted: Wed Mar 06, 2019 4:45 pm
by samiul_samin
math_hunter wrote:
Wed Mar 06, 2019 12:18 pm
1x2x3x4x5x.....x2018 এর শেষ তিনটি অঙ্ক কত? (একক, দশক, শতক) :?: :?: :?:
$\fbox {000}$

The product is divisible by $1000$.So,the last three digits of the product must be $000$.

Re: শেষ ৩টি অঙ্ক কত?

Posted: Wed Mar 06, 2019 6:41 pm
by math_hunter
How can I say that the product is divisible by 1000?

Re: শেষ ৩টি অঙ্ক কত?

Posted: Wed Mar 06, 2019 9:12 pm
by samiul_samin
math_hunter wrote:
Wed Mar 06, 2019 6:41 pm
How can I say that the product is divisible by 1000?
The product=$1×2×3×...×1000×...×2018$
So,it must be divided by $1000$.

As example $1×2×3×4×5$ is divided by $1,2,3,4,5$.

Re: শেষ ৩টি অঙ্ক কত?

Posted: Wed Mar 06, 2019 9:36 pm
by math_hunter
samiul_samin wrote:
Wed Mar 06, 2019 9:12 pm
math_hunter wrote:
Wed Mar 06, 2019 6:41 pm
How can I say that the product is divisible by 1000?
The product=$1×2×3×...×1000×...×2018$
So,it must be divided by $1000$.

As example $1×2×3×4×5$ is divided by $1,2,3,4,5$.
Hmm...Thanks

Re: শেষ ৩টি অঙ্ক কত?

Posted: Wed Mar 06, 2019 11:52 pm
by samiul_samin
No need to mension.