Is 4716 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 4716 is composite or not first we have to find its factors.
Contents
Factors of 4716:
- If we have taken numbers from 1, 2, 3…for checking factors of 4716 we found that 4716 has factors 1, 2, 3, 4, 6, 9, 12, 18, 36, 131, 262, 393, 524, 786, 1179, 1572, 2358 and 4716. Hence, we must say that 4716 is a composite number.
- Thus, 4716 is the composite number.
- If we multiply 4716 by 1, 2, 3 then we get the multiples of 4716 which are 4716, 9432 and so on.
About the number 4716:
- 4716 has more than two factors which are 1, 2, 3, 4, 6, 9, 12, 18, 36, 131, 262, 393, 524, 786, 1179, 1572, 2358 and 4716 and hence it is the composite number.
- 4716 is the even composite number and it is not the perfect square also.
- If we divide 4716 by, 1, 2, 3, 4, 6, 9, 12, 18, 36, 131, 262, 393, 524, 786, 1179, 1572, 2358 and 4716 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 9, 12, 18, 36, 131, 262, 393, 524, 786, 1179, 1572, 2358 and 4716 are the factors of 4716.
Note:
- 4716 is not the perfect square.
- Factors of 4716: 1, 2, 3, 4, 6, 9, 12, 18, 36, 131, 262, 393, 524, 786, 1179, 1572, 2358 and 4716
- Prime factors of 4716: 2, 3, 131
Conclusion:
- 4716 is the composite number which has factors, 1, 2, 3, 4, 6, 9, 12, 18, 36, 131, 262, 393, 524, 786, 1179, 1572, 2358 and 4716
- And hence, 4716 is not the prime number.
Multiple Choice Questions:
1) 4716 is a
a) Prime number
b) even number
c) even Composite number
d) Both a and c
Ans: c) even composite number
2) The prime factors of a composite number 4716 are
a) 4716
b) 2, 3, 131
c) 4, 6, 9, 12, 18, 36, 262, 393, 524, 786, 1179, 1572, 2358 and 4716
d) 1, 2, 3, 4, 6, 9, 12, 18, 36, 131, 262, 393, 524, 786, 1179, 1572, 2358 and 4716
Ans: b) 2, 3, 131
3) 4716 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 9, 12, 18, 36, 131, 262, 393, 524, 786, 1179, 1572, 2358 and 4716
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all