Is 1767 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 1767 is composite or not first we have to find its factors.
Contents
Factors of 1767:
- If we have taken numbers from 1, 2, 3…for checking factors of 1767, we found that 1767 has factors 1, 3, 19, 31, 57, 93, 589 and 1767. Hence, we must say that 1767 is a composite number.
- Thus, 1767 is the composite number.
- If we multiply 1767 by 1, 2, 3 then we get the multiples of 1767 which are 1767, 3534 and so on.
1767 is a Composite number or Prime number
About the number 1767:
- 1767 has more than two factors which are 1, 3, 19, 31, 57, 93, 589 and 1767 and hence it is the composite number.
- 1767 is the odd composite number and it is not the perfect square also.
- If we divide 1767 by 1, 3, 19, 31, 57, 93, 589 and 1767 then we get remainder as zero. Hence, 1, 3, 19, 31, 57, 93, 589 and 1767 are the factors of 1767
Note:
- 1767 is not the perfect square.
- Factors of 1767: 1, 3, 19, 31, 57, 93, 589 and 1767
- Prime factors of 1767: 3, 19, 31
Conclusion:
- 1767 is the composite number which has factors 1, 3, 19, 31, 57, 93, 589 and 1767.
- And hence, 1767 is not the prime number.
Multiple Choice Questions:
1) 1767 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 1767 are
a) 1
b) 3, 19, 31
c) 1, 57, 93, 589 and 1767
d) 1, 3, 19, 31, 57, 93, 589 and 1767
Ans: b) 1, 57, 93, 589 and 1767
3) 1767 is the odd composite number because
a) It has factors 1, 3, 19, 31, 57, 93, 589 and 1767
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all