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What is the remainder when 501 * 502 * 503 is divided by 25?

Note by Pramita Kastha
3 years ago

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\(501 \times502 \times503 = (500+1)(500+2)(500+3) =500(500+2)(500+3) + (500(500+3)) +2(500) + 6\) .....when dividing by \(25\) the only term left out is \(6\) the remaining are evenly divisible by \(25\) ..therefore the remainder is \(\boxed{6}\).

Anik Mandal - 3 years ago

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6

Deepansh Jindal - 2 years, 1 month ago

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(500+1)X(500+2)X(500+3)=Multiple of 100+6 i.e. last 2 digits are 06. Therefore remainder when divided by 25 is 6.

Prince Loomba - 2 years, 6 months ago

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6

Prabhav Bansal - 3 years ago

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6

Faizan Khan - 3 years ago

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6

Lalitha Jyothi - 3 years ago

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Check out Modular Arithmetic - Multiplication.

Calvin Lin Staff - 3 years ago

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