Is 4554 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 4554 is composite or not first we have to find its factors.
Contents
Factors of 4554:
- If we have taken numbers from 1, 2, 3…for checking factors of 4554 we found that 4554 has factors 1, 2, 3, 6, 9, 11, 18, 22, 23, 33, 46, 66, 69, 99, 138, 198, 207, 253, 414, 506, 759, 1518, 2277 and 4554. Hence, we must say that 4554 is a composite number.
- Thus, 4554 is the composite number.
- If we multiply 4554 by 1, 2, 3 then we get the multiples of 4554 which are 4554, 9108 and so on.
About the number 4554:
- 4554 has more than two factors which are 1, 2, 3, 6, 9, 11, 18, 22, 23, 33, 46, 66, 69, 99, 138, 198, 207, 253, 414, 506, 759, 1518, 2277 and 4554 and hence it is the composite number.
- 4554 is the even composite number and it is not the perfect square also.
- If we divide 4554 by, 1, 2, 3, 6, 9, 11, 18, 22, 23, 33, 46, 66, 69, 99, 138, 198, 207, 253, 414, 506, 759, 1518, 2277 and 4554 then we get remainder as zero. Hence, 1, 2, 3, 6, 9, 11, 18, 22, 23, 33, 46, 66, 69, 99, 138, 198, 207, 253, 414, 506, 759, 1518, 2277 and 4554 are the factors of 4554.
Note:
- 4554 is not the perfect square.
- Factors of 4554: 1, 2, 3, 6, 9, 11, 18, 22, 23, 33, 46, 66, 69, 99, 138, 198, 207, 253, 414, 506, 759, 1518, 2277 and 4554
- Prime factors of 4554: 2, 3, 11, 23
Conclusion:
- 4554 is the composite number which has factors, 1, 2, 3, 6, 9, 11, 18, 22, 23, 33, 46, 66, 69, 99, 138, 198, 207, 253, 414, 506, 759, 1518, 2277 and 4554
- And hence, 4554 is not the prime number.
Multiple Choice Questions:
1) 4554 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 4554 are
a) 4554
b) 2, 3, 11, 23
c) 6, 9, 18, 22, 33, 46, 66, 69, 99, 138, 198, 207, 253, 414, 506, 759, 1518, 2277 and 4554
d) 1, 2, 3, 6, 9, 11, 18, 22, 23, 33, 46, 66, 69, 99, 138, 198, 207, 253, 414, 506, 759, 1518, 2277 and 4554
Ans: c) 6, 9, 18, 22, 33, 46, 66, 69, 99, 138, 198, 207, 253, 414, 506, 759, 1518, 2277 and 4554
3) 4554 is composite number because
a) It has factors 1, 2, 3, 6, 9, 11, 18, 22, 23, 33, 46, 66, 69, 99, 138, 198, 207, 253, 414, 506, 759, 1518, 2277 and 4554
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b