Is 2409 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 2409 is composite or not first we have to find its factors.
Contents
Factors of 2409:
- If we have taken numbers from 1, 2, 3…for checking factors of 2409, we found that 2409 has factors 1, 3, 11, 33, 73, 219, 803 and 2409. Hence, we must say that 2409 is a composite number.
- Thus, 2409 is the composite number.
- If we multiply 2409 by 1, 2, 3 then we get the multiples of 2409 which are 2409, 4818 and so on.
2409 is a Composite number or Prime number
About the number 2409:
- 2409 has more than two factors which are 1, 3, 11, 33, 73, 219, 803 and 2409 and hence it is the composite number.
- 2409 is the odd composite number and it is not the perfect square also.
- If we divide 2409 by 1, 3, 11, 33, 73, 219, 803 and 2409 then we get remainder as zero. Hence, 1, 3, 11, 33, 73, 219, 803 and 2409 are the factors of 2409
Note:
- 2409 is not the perfect square.
- Factors of 2409: 1, 3, 11, 33, 73, 219, 803 and 2409
- Prime factors of 2409: 3, 11, 73
Conclusion:
- 2409 is the composite number which has factors 1, 3, 11, 33, 73, 219, 803 and 2409.
- And hence, 2409 is not the prime number.
Multiple Choice Questions:
1) 2409 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 2409 are
a) 1
b) 3, 11, 73
c) 1 and 2409
d) 1, 3, 11, 33, 73, 219, 803 and 2409
Ans: b) 3, 11, 73
3) 2409 is the composite number because
a) It has factors 1, 3, 11, 33, 73, 219, 803 and 2409
b) It has more than two factors
c) It is not divisible by 2
d) Both a and b
Ans: d) both a and b