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

Note by Pramita Kastha
2 years, 8 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 $$\boxed{6}$$.

- 2 years, 8 months ago

6

- 1 year, 10 months 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.

- 2 years, 3 months ago

6

- 2 years, 8 months ago

6

- 2 years, 8 months ago

6

- 2 years, 8 months ago

Check out Modular Arithmetic - Multiplication.

Staff - 2 years, 8 months ago