Is 4764 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 4764 is composite or not first we have to find its factors.
Contents
Factors of 4764:
- If we have taken numbers from 1, 2, 3…for checking factors of 4764 we found that 4764 has factors 1, 2, 3, 4, 6, 12, 397, 794, 1191, 1588, 2382 and 4764. Hence, we must say that 4764 is a composite number.
- Thus, 4764 is the composite number.
- If we multiply 4764 by 1, 2, 3 then we get the multiples of 4764 which are 4764, 9528 and so on.
About the number 4764:
- 4764 has more than two factors which are 1, 2, 3, 4, 6, 12, 397, 794, 1191, 1588, 2382 and 4764 and hence it is the composite number.
- 4764 is the even composite number and it is not the perfect square also.
- If we divide 4764 by, 1, 2, 3, 4, 6, 12, 397, 794, 1191, 1588, 2382 and 4764 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 12, 397, 794, 1191, 1588, 2382 and 4764 are the factors of 4764.
Note:
- 4764 is not the perfect square.
- Factors of 4764: 1, 2, 3, 4, 6, 12, 397, 794, 1191, 1588, 2382 and 4764
- Prime factors of 4764: 2, 3, 397
Conclusion:
- 4764 is the composite number which has factors, 1, 2, 3, 4, 6, 12, 397, 794, 1191, 1588, 2382 and 4764
- And hence, 4764 is not the prime number.
Multiple Choice Questions:
1) 4764 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 4764 are
a) 4764
b) 2, 3, 397
c) 4, 6, 12, 794, 1191, 1588, 2382 and 4764
d) 1, 2, 3, 4, 6, 12, 397, 794, 1191, 1588, 2382 and 4764
Ans: b) 2, 3, 397
3) 4764 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 12, 397, 794, 1191, 1588, 2382 and 4764
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all