Is 1617 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 1617 is composite or not first we have to find its factors.
Contents
Factors of 1617:
- If we have taken numbers from 1, 2, 3…for checking factors of 1617, we found that 1617 has factors 1, 3, 7, 11, 21, 33, 49, 77, 147, 231, 539 and 1617. Hence, we must say that 1617 is a composite number.
- Thus, 1617 is the composite number.
- If we multiply 1617 by 1, 2, 3 then we get the multiples of 1617 which are 1617, 3234 and so on.
1617 is a Composite number or Prime number
About the number 1617:
- 1617 has more than two factors which are 1, 3, 7, 11, 21, 33, 49, 77, 147, 231, 539 and 1617 and hence it is the composite number.
- 1617 is the odd composite number and it is not the perfect square also.
- If we divide 1617 by 1, 3, 7, 11, 21, 33, 49, 77, 147, 231, 539 and 1617 then we get remainder as zero. Hence, 1, 3, 7, 11, 21, 33, 49, 77, 147, 231, 539 and 1617 are the factors of 1617
Note:
- 1617 is not the perfect square.
- Factors of 1617: 1, 3, 7, 11, 21, 33, 49, 77, 147, 231, 539 and 1617
- Prime factors of 1617: 3, 7, 11
Conclusion:
- 1617 is the composite number which has factors 1, 3, 7, 11, 21, 33, 49, 77, 147, 231, 539 and 1617.
- And hence, 1617 is not the prime number.
Multiple Choice Questions:
1) 1617 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 1617 are
a) 1
b) 3, 7, 11
c) 1, 21, 33, 49, 77, 147, 231, 539 and 1617
d) 1, 3, 7, 11, 21, 33, 49, 77, 147, 231, 539 and 1617
Ans: b) 1, 21, 33, 49, 77, 147, 231, 539 and 1617
3) 1617 is the odd composite number because
a) It has factors 1, 3, 7, 11, 21, 33, 49, 77, 147, 231, 539 and 1617
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all