Is 3410 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 3410 is composite or not first we have to find its factors.
Contents
Factors of 3410:
- If we have taken numbers from 1, 2, 3…for checking factors of 3410, we found that 3410 has factors 1, 2, 5, 10, 11, 22, 31, 55, 62, 110, 155, 310, 341, 682, 1705 and 3410. Hence, we must say that 3410 is a composite number.
- Thus, 3410 is the composite number.
- If we multiply 3410 by 1, 2, 3 then we get the multiples of 3410 which are 3410, 6820 and so on.
About the number 3410:
- 3410 has more than two factors which are 1, 2, 5, 10, 11, 22, 31, 55, 62, 110, 155, 310, 341, 682, 1705 and 3410 and hence it is the composite number.
- 3410 is the even composite number and it is not the perfect square also.
- If we divide 3410 by, 1, 2, 5, 10, 11, 22, 31, 55, 62, 110, 155, 310, 341, 682, 1705 and 3410 then we get remainder as zero. Hence, 1, 2, 5, 10, 11, 22, 31, 55, 62, 110, 155, 310, 341, 682, 1705 and 3410 are the factors of 3410.
Note:
- 3410 is not the perfect square.
- Factors of 3410: 1, 2, 5, 10, 11, 22, 31, 55, 62, 110, 155, 310, 341, 682, 1705 and 3410
- Prime factors of 3410: 2, 5, 11, 31
Conclusion:
- 3410 is the composite number which has factors, 1, 2, 5, 10, 11, 22, 31, 55, 62, 110, 155, 310, 341, 682, 1705 and 3410
- And hence, 3410 is not the prime number.
Multiple Choice Questions:
1) 3410 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 3410 are
a) 3410
b) 2, 5, 11, 31
c) 10, 22, 55, 62, 110, 155, 310, 341, 682, 1705 and 3410
d) 1, 2, 5, 10, 11, 22, 31, 55, 62, 110, 155, 310, 341, 682, 1705 and 3410
Ans: b) 2, 5, 11, 31
3) 3410 is even composite number because
a) It has factors 1, 2, 5, 10, 11, 22, 31, 55, 62, 110, 155, 310, 341, 682, 1705 and 3410
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all