Is 2580 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 2580 is composite or not first we have to find its factors.
Contents
Factors of 2580:
- If we have taken numbers from 1, 2, 3…for checking factors of 2580, we found that 2580 has factors 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 43, 60, 86, 129, 172, 215, 258, 430, 516, 645, 860, 1290 and 2580. Hence, we must say that 2580 is a composite number.
- Thus, 2580 is the composite number.
- If we multiply 2580 by 1, 2, 3 then we get the multiples of 2580 which are 2580, 5160 and so on.
About the number 2580:
- 2580 has more than two factors which are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 43, 60, 86, 129, 172, 215, 258, 430, 516, 645, 860, 1290 and 2580 and hence it is the composite number.
- 2580 is the even composite number and it is not the perfect square also.
- If we divide 2580 by, 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 43, 60, 86, 129, 172, 215, 258, 430, 516, 645, 860, 1290 and 2580 then we get remainder as zero. Hence, 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 43, 60, 86, 129, 172, 215, 258, 430, 516, 645, 860, 1290 and 2580 are the factors of 2580.
Note:
- 2580 is not the perfect square.
- Factors of 2580: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 43, 60, 86, 129, 172, 215, 258, 430, 516, 645, 860, 1290 and 2580
- Prime factors of 2580: 2, 3, 5, 43
Conclusion:
- 2580 is the composite number which has factors, 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 43, 60, 86, 129, 172, 215, 258, 430, 516, 645, 860, 1290 and 2580
- And hence, 2580 is not the prime number.
Multiple Choice Questions:
1) 2580 is a
a) Even number
b) Odd number
c) Composite number
d) Both a and c
Ans: d) both a and d
2) The prime factors of a composite number 2580 are
a) 2580
b) 2, 3, 5, 43
c) 1, 4, 6, 10, 12, 15, 20, 30, 60, 86, 129, 172, 215, 258, 430, 516, 645, 860, 1290 and 2580
d) 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 43, 60, 86, 129, 172, 215, 258, 430, 516, 645, 860, 1290 and 2580
Ans: b) 2, 3, 5, 43
3) 2580 is composite number because
a) It has factors 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 43, 60, 86, 129, 172, 215, 258, 430, 516, 645, 860, 1290 and 2580
b) It has more than two factors
c) Divisible by 2
d) Both a and b
Ans: d) both a and b