Is 822 is a composite number or not ?
- As we already know that, the number having factors 1 and the number itself is the prime number.
- And numbers having more than these two factors are the composite numbers.
- To check whether the number 822 is composite or not first we have to find its factors.
Contents
Factors of 822:
- If we have taken numbers from 1, 2, 3…for checking factors of 822, we found that 822 has factors 1, 2, 3, 6, 137, 274, 411 and 822. Hence, we must say that 822 is a composite number.
- Thus, 822 is the composite umber.
- If we multiply 822 by 1, 2, 3 then we get the multiples of 822 which are 822, 1644 and so on.
About the number 822:
- 822 has more than two factors which are 1, 2, 3, 6, 137, 274, 411 and 822 and hence it is the composite number.
- 822 is the even composite number and it is not the perfect square also.
- If we divide 822 by 1, 2, 3, 6, 137, 274, 411 and 822 then we get remainder as zero. Hence, 1, 2, 3, 6, 137, 274, 411 and 822are the factors of 822.
Note:
- 822 is not the perfect square.
- Factors of 822: 1, 2, 3, 6, 137, 274, 411 and 822
- Prime factors of 822: 2, 3, 137
Conclusion:
- 822 is the composite number which has factors 1, 2, 3, 6, 137, 274, 411 and 822
- And hence, 822 is not the prime number.
Multiple Choice Questions:
1) 822 is a
a) Odd number
b) Prime number
c) Composite number
d) Both b and c
Ans: c) composite number
2) The prime factors of a composite number 822 are
a) 1
b) 2, 3, 137
c) 1, 6, 274, 411 and 822
d) 1, 2, 3, 6, 137, 274, 411 and 822
Ans: b) 2, 3, 137
3) 822 is the composite number because
a) It has factors 1, 2, 3, 6, 137, 274, 411 and 822
b) It has only prime factors
c) Divisible by 2
d) Both a and b
Ans: a) It has factors 1, 2, 3, 6, 137, 274, 411 and 822