Is 3588 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 3588 is composite or not first we have to find its factors.
Contents
Factors of 3588:
- If we have taken numbers from 1, 2, 3…for checking factors of 3588, we found that 3588 has factors 1, 2, 3, 4, 6, 12, 13, 23, 26, 39, 46, 52, 69, 78, 92, 138, 156, 276, 299, 598, 897, 1196, 1794 and 3588. Hence, we must say that 3588 is a composite number.
- Thus, 3588 is the composite number.
- If we multiply 3588 by 1, 2, 3 then we get the multiples of 3588 which are 3588, 7176 and so on.
About the number 3588:
- 3588 has more than two factors which are 1, 2, 3, 4, 6, 12, 13, 23, 26, 39, 46, 52, 69, 78, 92, 138, 156, 276, 299, 598, 897, 1196, 1794 and 3588 and hence it is the composite number.
- 3588 is the even composite number and it is not the perfect square also.
- If we divide 3588 by, 1, 2, 3, 4, 6, 12, 13, 23, 26, 39, 46, 52, 69, 78, 92, 138, 156, 276, 299, 598, 897, 1196, 1794 and 3588 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 12, 13, 23, 26, 39, 46, 52, 69, 78, 92, 138, 156, 276, 299, 598, 897, 1196, 1794 and 3588 are the factors of 3588.
Note:
- 3588 is not the perfect square.
- Factors of 3588: 1, 2, 3, 4, 6, 12, 13, 23, 26, 39, 46, 52, 69, 78, 92, 138, 156, 276, 299, 598, 897, 1196, 1794 and 3588
- Prime factors of 3588: 2, 3, 13, 23
Conclusion:
- 3588 is the composite number which has factors, 1, 2, 3, 4, 6, 12, 13, 23, 26, 39, 46, 52, 69, 78, 92, 138, 156, 276, 299, 598, 897, 1196, 1794 and 3588
- And hence, 3588 is not the prime number.
Multiple Choice Questions:
1) 3588 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 3588 are
a) 3588
b) 2, 3, 13, 23
c) 4, 6, 12, 26, 39, 46, 52, 69, 78, 92, 138, 156, 276, 299, 598, 897, 1196, 1794 and 3588
d) 1, 2, 3, 4, 6, 12, 13, 23, 26, 39, 46, 52, 69, 78, 92, 138, 156, 276, 299, 598, 897, 1196, 1794 and 3588
Ans: b) 2, 3, 13, 23
3) 3588 is even composite number because
a) It has factors 1, 2, 3, 4, 6, 12, 13, 23, 26, 39, 46, 52, 69, 78, 92, 138, 156, 276, 299, 598, 897, 1196, 1794 and 3588
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all