Question

Show that 7×8×9×11+11 is a composite number.​

Answer 1

Answer:

the number is also divisible by 11. so, it can be said that 7×11×13+11 which is 1012 is a composite number. Since 92 is a composite no.

7 \times 11 \times 13 + 117×11×13+11

= 1012=1012

A composite number is a one which has more than one factor.

using the divisibility rule of 2 which states that for a number to be divisible by 2 , the unit digit must have 0,2,4,6 or 8 in units place .

here , 1012 has 2 in ones place , so it is divisible by 2.

now,

for a number to be divisible by 4 , the units and the tens digit should be divisible by 4

12 is divisible by 4.

so, it is divisible by 4

similarly,

the number is also divisible by 11.

so, it can be said that 7×11×13+11 which is 1012 is a composite number.

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