Is 3402 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 3402 is composite or not first we have to find its factors.
Contents
Factors of 3402:
- If we have taken numbers from 1, 2, 3…for checking factors of 3402, we found that 3402 has factors 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 243, 378, 486, 567, 1134, 1701 and 3402. Hence, we must say that 3402 is a composite number.
- Thus, 3402 is the composite number.
- If we multiply 3402 by 1, 2, 3 then we get the multiples of 3402 which are 3402, 6804 and so on.
About the number 3402:
- 3402 has more than two factors which are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 243, 378, 486, 567, 1134, 1701 and 3402 and hence it is the composite number.
- 3402 is the even composite number and it is not the perfect square also.
- If we divide 3402 by, 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 243, 378, 486, 567, 1134, 1701 and 3402 then we get remainder as zero. Hence, 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 243, 378, 486, 567, 1134, 1701 and 3402 are the factors of 3402.
Note:
- 3402 is not the perfect square.
- Factors of 3402: 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 243, 378, 486, 567, 1134, 1701 and 3402
- Prime factors of 3402: 2, 3, 7
Conclusion:
- 3402 is the composite number which has factors, 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 243, 378, 486, 567, 1134, 1701 and 3402
- And hence, 3402 is not the prime number.
Multiple Choice Questions:
1) 3402 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 3402 are
a) 3402
b) 2, 3, 7
c) 6, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 243, 378, 486, 567, 1134, 1701 and 3402
d) 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 243, 378, 486, 567, 1134, 1701 and 3402
Ans: b) 2, 3, 7
3) 3402 is even composite number because
a) It has factors 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 243, 378, 486, 567, 1134, 1701 and 3402
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all