Is 3580 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 3580 is composite or not first we have to find its factors.
Contents
Factors of 3580:
- If we have taken numbers from 1, 2, 3…for checking factors of 3580, we found that 3580 has factors 1, 2, 4, 5, 10, 20, 179, 358, 716, 895, 1790 and 3580. Hence, we must say that 3580 is a composite number.
- Thus, 3580 is the composite number.
- If we multiply 3580 by 1, 2, 3 then we get the multiples of 3580 which are 3580, 7160 and so on.
About the number 3580:
- 3580 has more than two factors which are 1, 2, 4, 5, 10, 20, 179, 358, 716, 895, 1790 and 3580 and hence it is the composite number.
- 3580 is the even composite number and it is not the perfect square also.
- If we divide 3580 by, 1, 2, 4, 5, 10, 20, 179, 358, 716, 895, 1790 and 3580 then we get remainder as zero. Hence, 1, 2, 4, 5, 10, 20, 179, 358, 716, 895, 1790 and 3580 are the factors of 3580.
Note:
- 3580 is not the perfect square.
- Factors of 3580: 1, 2, 4, 5, 10, 20, 179, 358, 716, 895, 1790 and 3580
- Prime factors of 3580: 2, 5, 179
Conclusion:
- 3580 is the composite number which has factors, 1, 2, 4, 5, 10, 20, 179, 358, 716, 895, 1790 and 3580
- And hence, 3580 is not the prime number.
Multiple Choice Questions:
1) 3580 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 3580 are
a) 3580
b) 2, 5, 179
c) 4, 10, 20, 358, 716, 895, 1790 and 3580
d) 1, 2, 4, 5, 10, 20, 179, 358, 716, 895, 1790 and 3580
Ans: b) 2, 5, 179
3) 3580 is even composite number because
a) It has factors 1, 2, 4, 5, 10, 20, 179, 358, 716, 895, 1790 and 3580
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all