Is 2394 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 2394 is composite or not first we have to find its factors.
Contents
Factors of 2394:
- If we have taken numbers from 1, 2, 3…for checking factors of 2394, we found that 2394 has factors 1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 38, 42, 57, 63, 114, 126, 133, 171, 266, 342, 399, 798, 1197 and 2394. Hence, we must say that 2394 is a composite number.
- Thus, 2394 is the composite number.
- If we multiply 2394 by 1, 2, 3 then we get the multiples of 2394 which are 2394, 4788 and so on.
About the number 2394:
- 2394 has more than two factors which are 1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 38, 42, 57, 63, 114, 126, 133, 171, 266, 342, 399, 798, 1197 and 2394 and hence it is the composite number.
- 2394 is the even composite number and it is not the perfect square also.
- If we divide 2394 by, 1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 38, 42, 57, 63, 114, 126, 133, 171, 266, 342, 399, 798, 1197 and 2394 then we get remainder as zero. Hence, 1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 38, 42, 57, 63, 114, 126, 133, 171, 266, 342, 399, 798, 1197 and 2394 are the factors of 2394.
Note:
- 2394 is not the perfect square.
- Factors of 2394: 1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 38, 42, 57, 63, 114, 126, 133, 171, 266, 342, 399, 798, 1197and 2394
- Prime factors of 2394: 2, 3, 7, 19
Conclusion:
- 2394 is the composite number which has factors 1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 38, 42, 57, 63, 114, 126, 133, 171, 266, 342, 399, 798, 1197 and 2394
- And hence, 2394 is not the prime number.
Multiple Choice Questions:
1) 2394 is a
a) Even number
b) Odd number
c) Composite number
d) Both a and c
Ans: d) both a and d
2) The prime factors of a composite number 2394 are
a) 2394
b) 2, 3, 7, 19
c) 1, 6, 9, 14, 18, 21, 38, 42, 57, 63, 114, 126, 133, 171, 266, 342, 399, 798, 1197 and 2394
d) 1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 38, 42, 57, 63, 114, 126, 133, 171, 266, 342, 399, 798, 1197 and 2394
Ans: b) 2, 3, 7, 19
3) 2394 is composite number because
a) It has factors 1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 38, 42, 57, 63, 114, 126, 133, 171, 266, 342, 399, 798, 1197and 2394
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b