Is 3624 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 3624 is composite or not first we have to find its factors.
Contents
Factors of 3624:
- If we have taken numbers from 1, 2, 3…for checking factors of 3624, we found that 3624 has factors 1, 2, 3, 4, 6, 8, 12, 24, 151, 302, 453, 604, 906, 1208, 1812 and 3624. Hence, we must say that 3624 is a composite number.
- Thus, 3624 is the composite number.
- If we multiply 3624 by 1, 2, 3 then we get the multiples of 3624 which are 3624, 7248 and so on.
About the number 3624:
- 3624 has more than two factors which are 1, 2, 3, 4, 6, 8, 12, 24, 151, 302, 453, 604, 906, 1208, 1812 and 3624 and hence it is the composite number.
- 3624 is the even composite number and it is not the perfect square also.
- If we divide 3624 by, 1, 2, 3, 4, 6, 8, 12, 24, 151, 302, 453, 604, 906, 1208, 1812 and 3624 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 12, 24, 151, 302, 453, 604, 906, 1208, 1812 and 3624 are the factors of 3624.
Note:
- 3624 is not the perfect square.
- Factors of 3624: 1, 2, 3, 4, 6, 8, 12, 24, 151, 302, 453, 604, 906, 1208, 1812 and 3624
- Prime factors of 3624: 2, 3, 151
Conclusion:
- 3624 is the composite number which has factors, 1, 2, 3, 4, 6, 8, 12, 24, 151, 302, 453, 604, 906, 1208, 1812 and 3624
- And hence, 3624 is not the prime number.
Multiple Choice Questions:
1) 3624 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 3624 are
a) 3624
b) 2, 3, 151
c) 4, 6, 8, 12, 24, 302, 453, 604, 906, 1208, 1812 and 3624
d) 1, 2, 3, 4, 6, 8, 12, 24, 151, 302, 453, 604, 906, 1208, 1812 and 3624
Ans: b) 2, 3, 151
3) 3624 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 12, 24, 151, 302, 453, 604, 906, 1208, 1812 and 3624
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all