Is 3488 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 3488 is composite or not first we have to find its factors.
Contents
Factors of 3488:
- If we have taken numbers from 1, 2, 3…for checking factors of 3488, we found that 3488 has factors 1, 2, 4, 8, 16, 32, 109, 218, 436, 872, 1744 and 3488. Hence, we must say that 3488 is a composite number.
- Thus, 3488 is the composite number.
- If we multiply 3488 by 1, 2, 3 then we get the multiples of 3488 which are 3488, 6976 and so on.
About the number 3488:
- 3488 has more than two factors which are 1, 2, 4, 8, 16, 32, 109, 218, 436, 872, 1744 and 3488 and hence it is the composite number.
- 3488 is the even composite number and it is not the perfect square also.
- If we divide 3488 by, 1, 2, 4, 8, 16, 32, 109, 218, 436, 872, 1744 and 3488 then we get remainder as zero. Hence, 1, 2, 4, 8, 16, 32, 109, 218, 436, 872, 1744 and 3488 are the factors of 3488.
Note:
- 3488 is not the perfect square.
- Factors of 3488: 1, 2, 4, 8, 16, 32, 109, 218, 436, 872, 1744 and 3488
- Prime factors of 3488: 2, 109
Conclusion:
- 3488 is the composite number which has factors, 1, 2, 4, 8, 16, 32, 109, 218, 436, 872, 1744 and 3488
- And hence, 3488 is not the prime number.
Multiple Choice Questions:
1) 3488 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 3488 are
a) 3488
b) 2, 109
c) 4, 8, 16, 32, 218, 436, 872, 1744 and 3488
d) 1, 2, 4, 8, 16, 32, 109, 218, 436, 872, 1744 and 3488
Ans: b) 2, 109
3) 3488 is even composite number because
a) It has factors 1, 2, 4, 8, 16, 32, 109, 218, 436, 872, 1744 and 3488
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all