Is 3458 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 3458 is composite or not first we have to find its factors.
Contents
Factors of 3458:
- If we have taken numbers from 1, 2, 3…for checking factors of 3458, we found that 3458 has factors 1, 2, 7, 13, 14, 19, 26, 38, 91, 133, 182, 247, 266, 494, 1729 and 3458. Hence, we must say that 3458 is a composite number.
- Thus, 3458 is the composite number.
- If we multiply 3458 by 1, 2, 3 then we get the multiples of 3458 which are 3458, 6916 and so on.
About the number 3458:
- 3458 has more than two factors which are 1, 2, 7, 13, 14, 19, 26, 38, 91, 133, 182, 247, 266, 494, 1729 and 3458 and hence it is the composite number.
- 3458 is the even composite number and it is not the perfect square also.
- If we divide 3458 by, 1, 2, 7, 13, 14, 19, 26, 38, 91, 133, 182, 247, 266, 494, 1729 and 3458 then we get remainder as zero. Hence, 1, 2, 7, 13, 14, 19, 26, 38, 91, 133, 182, 247, 266, 494, 1729 and 3458 are the factors of 3458.
Note:
- 3458 is not the perfect square.
- Factors of 3458: 1, 2, 7, 13, 14, 19, 26, 38, 91, 133, 182, 247, 266, 494, 1729 and 3458
- Prime factors of 3458: 2, 7, 13, 19
Conclusion:
- 3458 is the composite number which has factors, 1, 2, 7, 13, 14, 19, 26, 38, 91, 133, 182, 247, 266, 494, 1729 and 3458
- And hence, 3458 is not the prime number.
Multiple Choice Questions:
1) 3458 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 3458 are
a) 3458
b) 2, 7, 13, 19
c) 14, 26, 38, 91, 133, 182, 247, 266, 494, 1729 and 3458
d) 1, 2, 7, 13, 14, 19, 26, 38, 91, 133, 182, 247, 266, 494, 1729 and 3458
Ans: b) 2, 7, 13, 19
3) 3458 is even composite number because
a) It has factors 1, 2, 7, 13, 14, 19, 26, 38, 91, 133, 182, 247, 266, 494, 1729 and 3458
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all