Is 4712 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 4712 is composite or not first we have to find its factors.
Contents
Factors of 4712:
- If we have taken numbers from 1, 2, 3…for checking factors of 4712 we found that 4712 has factors 1, 2, 4, 8, 19, 31, 38, 62, 70, 124, 152, 248, 589, 1178, 2356 and 4712. Hence, we must say that 4712 is a composite number.
- Thus, 4712 is the composite number.
- If we multiply 4712 by 1, 2, 3 then we get the multiples of 4712 which are 4712, 9424 and so on.
About the number 4712:
- 4712 has more than two factors which are 1, 2, 4, 8, 19, 31, 38, 62, 70, 124, 152, 248, 589, 1178, 2356 and 4712 and hence it is the composite number.
- 4712 is the even composite number and it is not the perfect square also.
- If we divide 4712 by, 1, 2, 4, 8, 19, 31, 38, 62, 70, 124, 152, 248, 589, 1178, 2356 and 4712 then we get remainder as zero. Hence, 1, 2, 4, 8, 19, 31, 38, 62, 70, 124, 152, 248, 589, 1178, 2356 and 4712 are the factors of 4712.
Note:
- 4712 is not the perfect square.
- Factors of 4712: 1, 2, 4, 8, 19, 31, 38, 62, 70, 124, 152, 248, 589, 1178, 2356 and 4712
- Prime factors of 4712: 2, 19, 31
Conclusion:
- 4712 is the composite number which has factors, 1, 2, 4, 8, 19, 31, 38, 62, 70, 124, 152, 248, 589, 1178, 2356 and 4712
- And hence, 4712 is not the prime number.
Multiple Choice Questions:
1) 4712 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 4712 are
a) 4712
b) 2, 19, 31
c) 4, 8, 38, 62, 70, 124, 152, 248, 589, 1178, 2356 and 4712
d) 1, 2, 4, 8, 19, 31, 38, 62, 70, 124, 152, 248, 589, 1178, 2356 and 4712
Ans: b) 2, 19, 31
3) 4712 is even composite number because
a) It has factors 1, 2, 4, 8, 19, 31, 38, 62, 70, 124, 152, 248, 589, 1178, 2356 and 4712
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all