Is 3504 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 3504 is composite or not first we have to find its factors.
Contents
Factors of 3504:
- If we have taken numbers from 1, 2, 3…for checking factors of 3504, we found that 3504 has factors 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 73, 146, 219, 292, 438, 584, 876, 1168, 1752 and 3504. Hence, we must say that 3504 is a composite number.
- Thus, 3504 is the composite number.
- If we multiply 3504 by 1, 2, 3 then we get the multiples of 3504 which are 3504, 7008 and so on.
About the number 3504:
- 3504 has more than two factors which are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 73, 146, 219, 292, 438, 584, 876, 1168, 1752 and 3504 and hence it is the composite number.
- 3504 is the even composite number and it is not the perfect square also.
- If we divide 3504 by, 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 73, 146, 219, 292, 438, 584, 876, 1168, 1752 and 3504 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 73, 146, 219, 292, 438, 584, 876, 1168, 1752 and 3504 are the factors of 3504.
Note:
- 3504 is not the perfect square.
- Factors of 3504: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 73, 146, 219, 292, 438, 584, 876, 1168, 1752 and 3504
- Prime factors of 3504: 2, 3, 73
Conclusion:
- 3504 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 73, 146, 219, 292, 438, 584, 876, 1168, 1752 and 3504
- And hence, 3504 is not the prime number.
Multiple Choice Questions:
1) 3504 is a
a) Prime number
b) Odd number
c) Composite number
d) Both b and c
Ans: c) composite number
2) The prime factors of a composite number 3504 are
a) 3504
b) 2, 3, 73
c) 4, 6, 8, 12, 16, 24, 48, 146, 219, 292, 438, 584, 876, 1168, 1752 and 3504
d) 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 73, 146, 219, 292, 438, 584, 876, 1168, 1752 and 3504
Ans: b) 2, 3, 73
3) 3504 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 73, 146, 219, 292, 438, 584, 876, 1168, 1752 and 3504
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all