Is 4374 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 4374 is composite or not first we have to find its factors.
Contents
Factors of 4374:
- If we have taken numbers from 1, 2, 3…for checking factors of 4374 we found that 4374 has factors 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458, 2187 and 4374. Hence, we must say that 4374 is a composite number.
- Thus, 4374 is the composite number.
- If we multiply 4374 by 1, 2, 3 then we get the multiples of 4374 which are 4374, 8748 and so on.
About the number 4374:
- 4374 has more than two factors which are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458, 2187 and 4374 and hence it is the composite number.
- 4374 is the even composite number and it is not the perfect square also.
- If we divide 4374 by, 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458, 2187 and 4374 then we get remainder as zero. Hence, 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458, 2187 and 4374 are the factors of 4374.
Note:
- 4374 is not the perfect square.
- Factors of 4374: 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458, 2187 and 4374
- Prime factors of 4374: 2, 3
Conclusion:
- 4374 is the composite number which has factors, 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458, 2187 and 4374
- And hence, 4374 is not the prime number.
Multiple Choice Questions:
1) 4374 is a
a) Prime number
b) Even number
c) Composite number
d) Both b and c
Ans: d) both b and c
2) The composite factors of a composite number 4374 are
a) 4374
b) 2, 3
c) 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458, 2187 and 4374
d) 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458, 2187 and 4374
Ans: c) 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458, 2187 and 4374
3) 4374 is composite number because
a) It has factors 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458, 2187 and 4374
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b