শেষ ৩টি অঙ্ক কত?
- math_hunter
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1x2x3x4x5x.....x2018 এর শেষ তিনটি অঙ্ক কত? (একক, দশক, শতক)
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Re: শেষ ৩টি অঙ্ক কত?
$\fbox {000}$math_hunter wrote: ↑Wed Mar 06, 2019 12:18 pm1x2x3x4x5x.....x2018 এর শেষ তিনটি অঙ্ক কত? (একক, দশক, শতক)
The product is divisible by $1000$.So,the last three digits of the product must be $000$.
- math_hunter
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Re: শেষ ৩টি অঙ্ক কত?
How can I say that the product is divisible by 1000?
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Re: শেষ ৩টি অঙ্ক কত?
The product=$1×2×3×...×1000×...×2018$
So,it must be divided by $1000$.
As example $1×2×3×4×5$ is divided by $1,2,3,4,5$.
- math_hunter
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Re: শেষ ৩টি অঙ্ক কত?
Hmm...Thankssamiul_samin wrote: ↑Wed Mar 06, 2019 9:12 pmThe 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?
Here 1000 is a factor of the product then it is obviously dived the product
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Re: শেষ ৩টি অঙ্ক কত?
1*2*3*4*5*6*7*......*1000*.....*2018
Ans will be 000
Ans will be 000