What is the remainder when product of 1998*1999*2000 is divided by 7?
Answers
Therefore the remainder when the product of 1998 × 1999 × 2000 is divided by '7' is '4'.
Given:
The number = 1998 × 1999 × 2000
To Find:
The remainder when the given number 1998 × 1999 × 2000 is divided by 7.
Solution:
The given question can be solved as shown below.
The given number = 1998 × 1999 × 2000
To find the remainder of the given number, the remainder of individual numbers when divided by '7' is calculated and multiplied and the formed new number is again divided by '7' then the remainder obtained is the required answer.
⇒ When '1998' is divided by '7' the remainder is '3'.
⇒ When '1999' is divided by '7' the remainder is '4'.
⇒ When '2000' is divided by '7' the remainder is '5'.
The individual remainders are multiplied to get a new number.
⇒ Obtained number = 3 × 4 × 5 = 60
When '60' is divided by '7' the remainder is '4'.
Therefore the remainder when the product of 1998 × 1999 × 2000 is divided by '7' is '4'.
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