Is 3400 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 3400 is composite or not first we have to find its factors.
Contents
Factors of 3400:
- If we have taken numbers from 1, 2, 3…for checking factors of 3400, we found that 3400 has factors 1, 2, 4, 5, 8, 10, 17, 20, 25, 34, 40, 50, 68, 85, 100, 136, 170, 200, 340, 425, 680, 850, 1700 and 3400. Hence, we must say that 3400 is a composite number.
- Thus, 3400 is the composite number.
- If we multiply 3400 by 1, 2, 3 then we get the multiples of 3400 which are 3400, 6800 and so on.
About the number 3400:
- 3400 has more than two factors which are 1, 2, 4, 5, 8, 10, 17, 20, 25, 34, 40, 50, 68, 85, 100, 136, 170, 200, 340, 425, 680, 850, 1700 and 3400 and hence it is the composite number.
- 3400 is the even composite number and it is not the perfect square also.
- If we divide 3400 by, 1, 2, 4, 5, 8, 10, 17, 20, 25, 34, 40, 50, 68, 85, 100, 136, 170, 200, 340, 425, 680, 850, 1700 and 3400 then we get remainder as zero. Hence, 1, 2, 4, 5, 8, 10, 17, 20, 25, 34, 40, 50, 68, 85, 100, 136, 170, 200, 340, 425, 680, 850, 1700 and 3400 are the factors of 3400.
Note:
- 3400 is not the perfect square.
- Factors of 3400: 1, 2, 4, 5, 8, 10, 17, 20, 25, 34, 40, 50, 68, 85, 100, 136, 170, 200, 340, 425, 680, 850, 1700 and 3400
- Prime factors of 3400: 2, 5, 17
Conclusion:
- 3400 is the composite number which has factors, 1, 2, 4, 5, 8, 10, 17, 20, 25, 34, 40, 50, 68, 85, 100, 136, 170, 200, 340, 425, 680, 850, 1700 and 3400
- And hence, 3400 is not the prime number.
Multiple Choice Questions:
1) 3400 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 3400 are
a) 3400
b) 2, 5, 17
c) 4, 8, 10, 20, 25, 34, 40, 50, 68, 85, 100, 136, 170, 200, 340, 425, 680, 850, 1700 and 3400
d) 1, 2, 4, 5, 8, 10, 17, 20, 25, 34, 40, 50, 68, 85, 100, 136, 170, 200, 340, 425, 680, 850, 1700 and 3400
Ans: b) 2, 5, 17
3) 3400 is even composite number because
a) It has factors 1, 2, 4, 5, 8, 10, 17, 20, 25, 34, 40, 50, 68, 85, 100, 136, 170, 200, 340, 425, 680, 850, 1700 and 3400
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all