Is 3540 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 3540 is composite or not first we have to find its factors.
Contents
Factors of 3540:
- If we have taken numbers from 1, 2, 3…for checking factors of 3540, we found that 3540 has factors 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770 and 3540. Hence, we must say that 3540 is a composite number.
- Thus, 3540 is the composite number.
- If we multiply 3540 by 1, 2, 3 then we get the multiples of 3540 which are 3540, 7080 and so on.
About the number 3540:
- 3540 has more than two factors which are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770 and 3540 and hence it is the composite number.
- 3540 is the even composite number and it is not the perfect square also.
- If we divide 3540 by, 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770 and 3540 then we get remainder as zero. Hence, 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770 and 3540 are the factors of 3540.
Note:
- 3540 is not the perfect square.
- Factors of 3540: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770 and 3540
- Prime factors of 3540: 2, 3, 5, 59
Conclusion:
- 3540 is the composite number which has factors, 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770 and 3540
- And hence, 3540 is not the prime number.
Multiple Choice Questions:
1) 3540 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 3540 are
a) 3540
b) 2, 3, 5, 59
c) 4, 6, 10, 12, 15, 20, 30, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770 and 3540
d) 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770 and 3540
Ans: b) 2, 3, 5, 59
3) 3540 is even composite number because
a) It has factors 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770 and 3540
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all