Is 3630 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 3630 is composite or not first we have to find its factors.
Contents
Factors of 3630:
- If we have taken numbers from 1, 2, 3…for checking factors of 3630, we found that 3630 has factors 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 121, 165, 242, 330, 363, 605, 726, 1210, 1815 and 3630. Hence, we must say that 3630 is a composite number.
- Thus, 3630 is the composite number.
- If we multiply 3630 by 1, 2, 3 then we get the multiples of 3630 which are 3630, 7260 and so on.
About the number 3630:
- 3630 has more than two factors which are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 121, 165, 242, 330, 363, 605, 726, 1210, 1815 and 3630 and hence it is the composite number.
- 3630 is the even composite number and it is not the perfect square also.
- If we divide 3630 by, 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 121, 165, 242, 330, 363, 605, 726, 1210, 1815 and 3630 then we get remainder as zero. Hence, 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 121, 165, 242, 330, 363, 605, 726, 1210, 1815 and 3630 are the factors of 3630.
Note:
- 3630 is not the perfect square.
- Factors of 3630: 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 121, 165, 242, 330, 363, 605, 726, 1210, 1815 and 3630
- Prime factors of 3630: 2, 3, 5, 11
Conclusion:
- 3630 is the composite number which has factors, 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 121, 165, 242, 330, 363, 605, 726, 1210, 1815 and 3630
- And hence, 3630 is not the prime number.
Multiple Choice Questions:
1) 3630 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 3630 are
a) 3630
b) 2, 3, 5, 11
c) 6, 10, 15, 22, 30, 33, 55, 66, 110, 121, 165, 242, 330, 363, 605, 726, 1210, 1815 and 3630
d) 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 121, 165, 242, 330, 363, 605, 726, 1210, 1815 and 3630
Ans: b) 2, 3, 5, 11
3) 3630 is even composite number because
a) It has factors 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 121, 165, 242, 330, 363, 605, 726, 1210, 1815 and 3630
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all