Is 3002 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 3002 is composite or not first we have to find its factors.
Contents
Factors of 3002:
- If we have taken numbers from 1, 2, 3…for checking factors of 3002, we found that 3002 has factors 1, 2, 19, 38, 79, 158, 1501 and 3002. Hence, we must say that 3002 is a composite number.
- Thus, 3002 is the composite number.
- If we multiply 3002 by 1, 2, 3 then we get the multiples of 3002 which are 3002, 6004 and so on.
About the number 3002:
- 3002 has more than two factors which are 1, 2, 19, 38, 79, 158, 1501 and 3002 and hence it is the composite number.
- 3002 is the even composite number and it is not the perfect square also.
- If we divide 3002 by, 1, 2, 19, 38, 79, 158, 1501 and 3002 then we get remainder as zero. Hence, 1, 2, 19, 38, 79, 158, 1501 and 3002 are the factors of 3002.
Note:
- 3002 is not the perfect square.
- Factors of 3002: 1, 2, 19, 38, 79, 158, 1501 and 3002
- Prime factors of 3002: 2, 19, 79
Conclusion:
- 3002 is the composite number which has factors, 1, 2, 19, 38, 79, 158, 1501 and 3002
- And hence, 3002 is not the prime number.
Multiple Choice Questions:
1) 3002 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 3002 are
a) 3002
b) 2, 19, 79
c) 38, 158, 1501 and 3002
d) 1, 2, 19, 38, 79, 158, 1501 and 3002
Ans: c) 38,158, 1501 and 3002
3) 3002 is even composite number because
a) It has factors 1, 2, 19, 38, 79, 158, 1501 and 3002
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c