Is 3330 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 3330 is composite or not first we have to find its factors.
Factors of 3330:
- If we have taken numbers from 1, 2, 3…for checking factors of 3330, we found that 3330 has factors 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 37, 45, 74, 90, 111, 185, 222, 333, 370, 555, 666, 1110, 1665 and 3330. Hence, we must say that 3330 is a composite number.
- Thus, 3330 is the composite number.
- If we multiply 3330 by 1, 2, 3 then we get the multiples of 3330 which are 3330, 6660 and so on.
About the number 3330:
- 3330 has more than two factors which are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 37, 45, 74, 90, 111, 185, 222, 333, 370, 555, 666, 1110, 1665 and 3330 and hence it is the composite number.
- 3330 is the even composite number and it is not the perfect square also.
- If we divide 3330 by, 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 37, 45, 74, 90, 111, 185, 222, 333, 370, 555, 666, 1110, 1665 and 3330 then we get remainder as zero. Hence, 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 37, 45, 74, 90, 111, 185, 222, 333, 370, 555, 666, 1110, 1665 and 3330 are the factors of 3330.
Note:
- 3330 is not the perfect square.
- Factors of 3330: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 37, 45, 74, 90, 111, 185, 222, 333, 370, 555, 666, 1110, 1665 and 3330
- Prime factors of 3330: 2, 3, 5, 37
Conclusion:
- 3330 is the composite number which has factors, 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 37, 45, 74, 90, 111, 185, 222, 333, 370, 555, 666, 1110, 1665 and 3330
- And hence, 3330 is not the prime number.
Multiple Choice Questions:
1) 3330 is a
a) Prime number
b) Even number
c) Composite number
d) Both b and c
Ans: d) both b and c
2) The prime factors of a composite number 3330 are
a) 3330
b) 2, 3, 5, 37
c) 6, 9, 10, 15, 18, 30, 45, 74, 90, 111, 185, 222, 333, 370, 555, 666, 1110, 1665 and 3330
d) 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 37, 45, 74, 90, 111, 185, 222, 333, 370, 555, 666, 1110, 1665 and 3330
Ans: b) 2, 3, 5, 37
3) 3330 is composite number because
a) It has factors 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 37, 45, 74, 90, 111, 185, 222, 333, 370, 555, 666, 1110, 1665 and 3330
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) It has factors 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 37, 45, 74, 90, 111, 185, 222, 333, 370, 555, 666, 1110, 1665 and 3330