Is 3030 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 3030 is composite or not first we have to find its factors.
Contents
Factors of 3030:
- If we have taken numbers from 1, 2, 3…for checking factors of 3030, we found that 3030 has factors 1, 2, 3, 5, 6, 10, 15, 30, 101, 202, 303, 505, 606, 1010, 1515 and 3030. Hence, we must say that 3030 is a composite number.
- Thus, 3030 is the composite number.
- If we multiply 3030 by 1, 2, 3 then we get the multiples of 3030 which are 3030, 6060 and so on.
About the number 3030:
- 3030 has more than two factors which are 1, 2, 3, 5, 6, 10, 15, 30, 101, 202, 303, 505, 606, 1010, 1515 and 3030 and hence it is the composite number.
- 3030 is the even composite number and it is not the perfect square also.
- If we divide 3030 by, 1, 2, 3, 5, 6, 10, 15, 30, 101, 202, 303, 505, 606, 1010, 1515 and 3030 then we get remainder as zero. Hence, 1, 2, 3, 5, 6, 10, 15, 30, 101, 202, 303, 505, 606, 1010, 1515 and 3030 are the factors of 3030.
Note:
- 3030 is not the perfect square.
- Factors of 3030: 1, 2, 3, 5, 6, 10, 15, 30, 101, 202, 303, 505, 606, 1010, 1515 and 3030
- Prime factors of 3030: 2, 3, 5, 101
Conclusion:
- 3030 is the composite number which has factors, 1, 2, 3, 5, 6, 10, 15, 30, 101, 202, 303, 505, 606, 1010, 1515 and 3030
- And hence, 3030 is not the prime number.
Multiple Choice Questions:
1) 3030 is a
a) Prime number
b) Odd number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The composite factors of a composite number 3030 are
a) 3030
b) 2, 3, 5, 101
c) 6, 10, 15, 30, 202, 303, 505, 606, 1010, 1515 and 3030
d) 1, 2, 3, 5, 6, 10, 15, 30, 101, 202, 303, 505, 606, 1010, 1515 and 3030
Ans: c) 6, 10, 15, 30, 202, 303, 505, 606, 1010, 1515 and 3030
3) 3030 is even composite number because
a) It has factors 1, 2, 3, 5, 6, 10, 15, 30, 101, 202, 303, 505, 606, 1010, 1515 and 3030
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c