Is 3438 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 3438 is composite or not first we have to find its factors.
Contents
Factors of 3438:
- If we have taken numbers from 1, 2, 3…for checking factors of 3438, we found that 3438 has factors 1, 2, 3, 6, 9, 18, 191, 382, 573, 1146, 1719 and 3438. Hence, we must say that 3438 is a composite number.
- Thus, 3438 is the composite number.
- If we multiply 3438 by 1, 2, 3 then we get the multiples of 3438 which are 3438, 6876 and so on.
About the number 3438:
- 3438 has more than two factors which are 1, 2, 3, 6, 9, 18, 191, 382, 573, 1146, 1719 and 3438 and hence it is the composite number.
- 3438 is the even composite number and it is not the perfect square also.
- If we divide 3438 by, 1, 2, 3, 6, 9, 18, 191, 382, 573, 1146, 1719 and 3438 then we get remainder as zero. Hence, 1, 2, 3, 6, 9, 18, 191, 382, 573, 1146, 1719 and 3438 are the factors of 3438.
Note:
- 3438 is not the perfect square.
- Factors of 3438: 1, 2, 3, 6, 9, 18, 191, 382, 573, 1146, 1719 and 3438
- Prime factors of 3438: 2, 3, 191
Conclusion:
- 3438 is the composite number which has factors, 1, 2, 3, 6, 9, 18, 191, 382, 573, 1146, 1719 and 3438
- And hence, 3438 is not the prime number.
Multiple Choice Questions:
1) 3438 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 3438 are
a) 3438
b) 2, 3, 191
c) 6, 9, 18, 382, 573, 1146, 1719 and 3438
d) 1, 2, 3, 6, 9, 18, 191, 382, 573, 1146, 1719 and 3438
Ans: b) 2, 3, 191
3) 3438 is even composite number because
a) It has factors 1, 2, 3, 6, 9, 18, 191, 382, 573, 1146, 1719 and 3438
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all