Is 4596 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 4596 is composite or not first we have to find its factors.
Contents
Factors of 4596:
- If we have taken numbers from 1, 2, 3…for checking factors of 4596 we found that 4596 has factors 1, 2, 3, 4, 6, 12, 383, 766, 1149, 1532, 2298 and 4596. Hence, we must say that 4596 is a composite number.
- Thus, 4596 is the composite number.
- If we multiply 4596 by 1, 2, 3 then we get the multiples of 4596 which are 4596, 9192 and so on.
About the number 4596:
- 4596 has more than two factors which are 1, 2, 3, 4, 6, 12, 383, 766, 1149, 1532, 2298 and 4596 and hence it is the composite number.
- 4596 is the even composite number and it is not the perfect square also.
- If we divide 4596 by, 1, 2, 3, 4, 6, 12, 383, 766, 1149, 1532, 2298 and 4596 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 12, 383, 766, 1149, 1532, 2298 and 4596 are the factors of 4596.
Note:
- 4596 is not the perfect square.
- Factors of 4596: 1, 2, 3, 4, 6, 12, 383, 766, 1149, 1532, 2298 and 4596
- Prime factors of 4596: 2, 3, 383
Conclusion:
- 4596 is the composite number which has factors, 1, 2, 3, 4, 6, 12, 383, 766, 1149, 1532, 2298 and 4596
- And hence, 4596 is not the prime number.
Multiple Choice Questions:
1) 4596 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 4596 are
a) 4596
b) 2, 3, 383
c) 4, 6, 12, 766, 1149, 1532, 2298 and 4596
d) 1, 2, 3, 4, 6, 12, 383, 766, 1149, 1532, 2298 and 4596
Ans: c) 4, 6, 12, 766, 1149, 1532, 2298 and 4596
3) 4596 is composite number because
a) It has factors 1, 2, 3, 4, 6, 12, 383, 766, 1149, 1532, 2298 and 4596
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b