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

Note by Pramita Kastha
1 year, 4 months 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 $$\boxed{6}$$. · 1 year, 4 months ago

6 · 5 months, 3 weeks ago

(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. · 11 months ago

6 · 1 year, 4 months ago

6 · 1 year, 4 months ago

6 · 1 year, 4 months ago