Is 1197 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 1197 is composite or not first we have to find its factors.
Contents
Factors of 1197:
- If we have taken numbers from 1, 2, 3…for checking factors of 1197, we found that 1197 has factors 1, 3, 7, 9, 19, 21, 57, 63, 133, 171, 399 and 1197. Hence, we must say that 1197 is a composite number.
- Thus, 1197 is the composite number.
- If we multiply 1197 by 1, 2, 3 then we get the multiples of 1197 which are 1197, 2394 and so on.
1197 is a Composite number or Prime number
About the number 1197:
- 1197 has more than two factors which are 1, 3, 7, 9, 19, 21, 57, 63, 133, 171, 399 and 1197 and hence it is the composite number.
- 1197 is the odd composite number and it is not the perfect square also.
- If we divide 1197 by 1, 3, 7, 9, 19, 21, 57, 63, 133, 171, 399 and 1197 then we get remainder as zero. Hence, 1, 3, 7, 9, 19, 21, 57, 63, 133, 171, 399 and 1197 are the factors of 1197
Note:
- 1197 is not the perfect square.
- Factors of 1197: 1, 3, 7, 9, 19, 21, 57, 63, 133, 171, 399 and 1197
- Prime factors of 1197: 3, 7, 19
Conclusion:
- 1197 is the composite number which has factors 1, 3, 7, 9, 19, 21, 57, 63, 133, 171, 399 and 1197.
- And hence, 1197 is not the prime number.
Multiple Choice Questions:
1) 1197 is a
a) odd number
b) Prime number
c) Composite number
d) Both a and c
Ans: d) both a and c
2) The prime factors of a composite number 1197 are
a) 1
b) 3, 7, 19
c) 1, 9, 21, 57, 63, 133, 171, 399 and 1197
d) 1, 3, 7, 9, 19, 21, 57, 63, 133, 171, 399 and 1197
Ans: b) 3, 7, 19
3) 1197 is the odd composite number because
a) It has factors 1, 3, 7, 9, 19, 21, 57, 63, 133, 171, 399 and 1197
b) It is divisible by 2
c) It is not divisible by 2
d) Both a and c
Ans: d) both a and c