Is 1947 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 1947 is composite or not first we have to find its factors.
Contents
Factors of 1947:
- If we have taken numbers from 1, 2, 3…for checking factors of 1947, we found that 1947 has factors 1, 3, 11, 33, 59, 177, 649 and 1947. Hence, we must say that 1947 is a composite number.
- Thus, 1947 is the composite number.
- If we multiply 1947 by 1, 2, 3 then we get the multiples of 1947 which are 1947, 3894 and so on.
1947 is a Composite number or Prime number
About the number 1947:
- 1947 has more than two factors which are 1, 3, 11, 33, 59, 177, 649 and 1947 and hence it is the composite number.
- 1947 is the odd composite number and it is not the perfect square also.
- If we divide 1947 by 1, 3, 11, 33, 59, 177, 649 and 1947 then we get remainder as zero. Hence, 1, 3, 11, 33, 59, 177, 649 and 1947 are the factors of 1947
Note:
- 1947 is not the perfect square.
- Factors of 1947: 1, 3, 11, 33, 59, 177, 649 and 1947
- Prime factors of 1947: 3, 11, 59
Conclusion:
- 1947 is the composite number which has factors 1, 3, 11, 33, 59, 177, 649 and 1947.
- And hence, 1947 is not the prime number.
Multiple Choice Questions:
1) 1947 is a
a) Even number
b) Prime number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The non-prime factors of a composite number 1947 are
a) 1
b) 3, 11, 59
c) 1, 33, 177, 649 and 1947
d) 1, 3, 11, 33, 59, 177, 649 and 1947
Ans: c) 1, 33, 177, 649 and 1947
3) 1947 is the odd composite number because
a) It has factors 1, 3, 11, 33, 59, 177, 649 and 1947
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all