Is 3460 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 3460 is composite or not first we have to find its factors.
Contents
Factors of 3460:
- If we have taken numbers from 1, 2, 3…for checking factors of 3460, we found that 3460 has factors 1, 2, 4, 5, 10, 20, 173, 346, 692, 865, 1730 and 3460. Hence, we must say that 3460 is a composite number.
- Thus, 3460 is the composite number.
- If we multiply 3460 by 1, 2, 3 then we get the multiples of 3460 which are 3460, 6920 and so on.
About the number 3460:
- 3460 has more than two factors which are 1, 2, 4, 5, 10, 20, 173, 346, 692, 865, 1730 and 3460 and hence it is the composite number.
- 3460 is the even composite number and it is not the perfect square also.
- If we divide 3460 by, 1, 2, 4, 5, 10, 20, 173, 346, 692, 865, 1730 and 3460 then we get remainder as zero. Hence, 1, 2, 4, 5, 10, 20, 173, 346, 692, 865, 1730 and 3460 are the factors of 3460.
Note:
- 3460 is not the perfect square.
- Factors of 3460: 1, 2, 4, 5, 10, 20, 173, 346, 692, 865, 1730 and 3460
- Prime factors of 3460: 2, 5, 173
Conclusion:
- 3460 is the composite number which has factors, 1, 2, 4, 5, 10, 20, 173, 346, 692, 865, 1730 and 3460
- And hence, 3460 is not the prime number.
Multiple Choice Questions:
1) 3460 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 3460 are
a) 3460
b) 2, 5, 173
c) 4, 10, 20, 346, 692, 865, 1730 and 3460
d) 1, 2, 4, 5, 10, 20, 173, 346, 692, 865, 1730 and 3460
Ans: b) 2, 5, 173
3) 3460 is even composite number because
a) It has factors 1, 2, 4, 5, 10, 20, 173, 346, 692, 865, 1730 and 3460
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all