Is 2220 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 2220 is composite or not first we have to find its factors.
Factors of 2220:
- If we have taken numbers from 1, 2, 3…for checking factors of 2220, we found that 2220 has factors 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 37, 60, 74, 111, 148, 185, 222, 370, 444, 555, 740, 1110 and 2220. Hence, we must say that 2220 is a composite number.
- Thus, 2220 is the composite number.
- If we multiply 2220 by 1, 2, 3 then we get the multiples of 2220 which are 2220, 4440 and so on.
About the number 2220:
- 2220 has more than two factors which are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 37, 60, 74, 111, 148, 185, 222, 370, 444, 555, 740, 1110 and 2220 and hence it is the composite number.
- 2220 is the even composite number and it is not the perfect square also.
- If we divide 2220 by, 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 37, 60, 74, 111, 148, 185, 222, 370, 444, 555, 740, 1110 and 2220 then we get remainder as zero. Hence, 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 37, 60, 74, 111, 148, 185, 222, 370, 444, 555, 740, 1110 and 2220 are the factors of 2220.
Note:
- 2220 is not the perfect square.
- Factors of 2220: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 37, 60, 74, 111, 148, 185, 222, 370, 444, 555, 740, 1110 and 2220
- Prime factors of 2220: 2, 3, 5, 37
Conclusion:
- 2220 is the composite number which has factors 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 37, 60, 74, 111, 148, 185, 222, 370, 444, 555, 740, 1110 and 2220
- And hence, 2220 is not the prime number.
Multiple Choice Questions:
1) 2220 is a
a) Prime number
b) Odd number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The non-prime factors of a composite number 2220 are
a) 2220
b) 2, 3, 5, 37
c) 1, 4, 6, 10, 12, 15, 20, 30, 60, 74, 111, 148, 185, 222, 370, 444, 555, 740, 1110 and 2220
d) 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 37, 60, 74, 111, 148, 185, 222, 370, 444, 555, 740, 1110 and 2220
Ans: c) 1, 4, 6, 10, 12, 15, 20, 30, 60, 74, 111, 148, 185, 222, 370, 444, 555, 740, 1110 and 2220
3) 2220 is composite number because
a) It has factors 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 37, 60, 74, 111, 148, 185, 222, 370, 444, 555, 740, 1110 and 2220
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) it has factors 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 37, 60, 74, 111, 148, 185, 222, 370, 444, 555, 740, 1110 and 2220