Is 3440 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 3440 is composite or not first we have to find its factors.
Contents
Factors of 3440:
- If we have taken numbers from 1, 2, 3…for checking factors of 3440, we found that 3440 has factors 1, 2, 4, 5, 8, 10, 16, 20, 40, 43, 80, 86, 172, 215, 344, 430, 688, 860, 1720 and 3440. Hence, we must say that 3440 is a composite number.
- Thus, 3440 is the composite number.
- If we multiply 3440 by 1, 2, 3 then we get the multiples of 3440 which are 3440, 6880 and so on.
About the number 3440:
- 3440 has more than two factors which are 1, 2, 4, 5, 8, 10, 16, 20, 40, 43, 80, 86, 172, 215, 344, 430, 688, 860, 1720 and 3440 and hence it is the composite number.
- 3440 is the even composite number and it is not the perfect square also.
- If we divide 3440 by, 1, 2, 4, 5, 8, 10, 16, 20, 40, 43, 80, 86, 172, 215, 344, 430, 688, 860, 1720 and 3440 then we get remainder as zero. Hence, 1, 2, 4, 5, 8, 10, 16, 20, 40, 43, 80, 86, 172, 215, 344, 430, 688, 860, 1720 and 3440 are the factors of 3440.
Note:
- 3440 is not the perfect square.
- Factors of 3440: 1, 2, 4, 5, 8, 10, 16, 20, 40, 43, 80, 86, 172, 215, 344, 430, 688, 860, 1720 and 3440
- Prime factors of 3440: 2, 5, 43
Conclusion:
- 3440 is the composite number which has factors, 1, 2, 4, 5, 8, 10, 16, 20, 40, 43, 80, 86, 172, 215, 344, 430, 688, 860, 1720 and 3440
- And hence, 3440 is not the prime number.
Multiple Choice Questions:
1) 3440 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 3440 are
a) 3440
b) 2, 5, 43
c) 4, 8, 10, 16, 20, 40, 80, 86, 172, 215, 344, 430, 688, 860, 1720 and 3440
d) 1, 2, 4, 5, 8, 10, 16, 20, 40, 43, 80, 86, 172, 215, 344, 430, 688, 860, 1720 and 3440
Ans: b) 2, 5, 43
3) 3440 is even composite number because
a) It has factors 1, 2, 4, 5, 8, 10, 16, 20, 40, 43, 80, 86, 172, 215, 344, 430, 688, 860, 1720 and 3440
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all