Is 4452 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 4452 is composite or not first we have to find its factors.
Contents
Factors of 4452:
- If we have taken numbers from 1, 2, 3…for checking factors of 4452 we found that 4452 has factors 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 53, 84, 106, 159, 212, 318, 371, 636, 742, 1113, 1484, 2226 and 4452. Hence, we must say that 4452 is a composite number.
- Thus, 4452 is the composite number.
- If we multiply 4452 by 1, 2, 3 then we get the multiples of 4452 which are 4452, 8904 and so on.
About the number 4452:
- 4452 has more than two factors which are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 53, 84, 106, 159, 212, 318, 371, 636, 742, 1113, 1484, 2226 and 4452 and hence it is the composite number.
- 4452 is the even composite number and it is not the perfect square also.
- If we divide 4452 by, 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 53, 84, 106, 159, 212, 318, 371, 636, 742, 1113, 1484, 2226 and 4452 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 53, 84, 106, 159, 212, 318, 371, 636, 742, 1113, 1484, 2226 and 4452 are the factors of 4452.
Note:
- 4452 is not the perfect square.
- Factors of 4452: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 53, 84, 106, 159, 212, 318, 371, 636, 742, 1113, 1484, 2226 and 4452
- Prime factors of 4452: 2, 3, 7, 53
Conclusion:
- 4452 is the composite number which has factors, 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 53, 84, 106, 159, 212, 318, 371, 636, 742, 1113, 1484, 2226 and 4452
- And hence, 4452 is not the prime number.
Multiple Choice Questions:
1) 4452 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 4452 are
a) 4452
b) 2, 3, 7, 53
c) 4, 6, 12, 14, 21, 28, 42, 84, 106, 159, 212, 318, 371, 636, 742, 1113, 1484, 2226 and 4452
d) 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 53, 84, 106, 159, 212, 318, 371, 636, 742, 1113, 1484, 2226 and 4452
Ans: c) 4, 6, 12, 14, 21, 28, 42, 84, 106, 159, 212, 318, 371, 636, 742, 1113, 1484, 2226 and 4452
3) 4452 is composite number because
a) It has factors 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 53, 84, 106, 159, 212, 318, 371, 636, 742, 1113, 1484, 2226 and 4452
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b