Is 4472 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 4472 is composite or not first we have to find its factors.
Contents
Factors of 4472:
- If we have taken numbers from 1, 2, 3…for checking factors of 4472 we found that 4472 has factors 1, 2, 4, 8, 13, 26, 43, 52, 86, 104, 172, 344, 559, 1118, 2236 and 4472. Hence, we must say that 4472 is a composite number.
- Thus, 4472 is the composite number.
- If we multiply 4472 by 1, 2, 3 then we get the multiples of 4472 which are 4472, 8944 and so on.
About the number 4472:
- 4472 has more than two factors which are 1, 2, 4, 8, 13, 26, 43, 52, 86, 104, 172, 344, 559, 1118, 2236 and 4472 and hence it is the composite number.
- 4472 is the even composite number and it is not the perfect square also.
- If we divide 4472 by, 1, 2, 4, 8, 13, 26, 43, 52, 86, 104, 172, 344, 559, 1118, 2236 and 4472 then we get remainder as zero. Hence, 1, 2, 4, 8, 13, 26, 43, 52, 86, 104, 172, 344, 559, 1118, 2236 and 4472 are the factors of 4472.
Note:
- 4472 is not the perfect square.
- Factors of 4472: 1, 2, 4, 8, 13, 26, 43, 52, 86, 104, 172, 344, 559, 1118, 2236 and 4472
- Prime factors of 4472: 2, 13, 43
Conclusion:
- 4472 is the composite number which has factors, 1, 2, 4, 8, 13, 26, 43, 52, 86, 104, 172, 344, 559, 1118, 2236 and 4472
- And hence, 4472 is not the prime number.
Multiple Choice Questions:
1) 4472 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 4472 are
a) 4472
b) 2, 13, 43
c) 4, 8, 26, 52, 86, 104, 172, 344, 559, 1118, 2236 and 4472
d) 1, 2, 4, 8, 13, 26, 43, 52, 86, 104, 172, 344, 559, 1118, 2236 and 4472
Ans: c) 4, 8, 26, 52, 86, 104, 172, 344, 559, 1118, 2236 and 4472
3) 4472 is composite number because
a) It has factors 1, 2, 4, 8, 13, 26, 43, 52, 86, 104, 172, 344, 559, 1118, 2236 and 4472
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b