Is 2820 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 2820 is composite or not first we have to find its factors.
Contents
Factors of 2820:
- If we have taken numbers from 1, 2, 3…for checking factors of 2820, we found that 2820 has factors 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 47, 60, 94, 141, 188, 235, 282, 470, 564, 705, 940, 1410 and 2820. Hence, we must say that 2820 is a composite number.
- Thus, 2820 is the composite number.
- If we multiply 2820 by 1, 2, 3 then we get the multiples of 2820 which are 2820, 5640 and so on.
About the number 2820:
- 2820 has more than two factors which are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 47, 60, 94, 141, 188, 235, 282, 470, 564, 705, 940, 1410 and 2820 and hence it is the composite number.
- 2820 is the even composite number and it is not the perfect square also.
- If we divide 2820 by, 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 47, 60, 94, 141, 188, 235, 282, 470, 564, 705, 940, 1410 and 2820 then we get remainder as zero. Hence, 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 47, 60, 94, 141, 188, 235, 282, 470, 564, 705, 940, 1410 and 2820 are the factors of 2820.
Note:
- 2820 is not the perfect square.
- Factors of 2820: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 47, 60, 94, 141, 188, 235, 282, 470, 564, 705, 940, 1410 and 2820
- Prime factors of 2820: 2, 3, 5, 47
Conclusion:
- 2820 is the composite number which has factors, 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 47, 60, 94, 141, 188, 235, 282, 470, 564, 705, 940, 1410 and 2820
- And hence, 2820 is not the prime number.
Multiple Choice Questions:
1) 2820 is a
a) Prime number
b) Odd number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The composite factors of a composite number 2820 are
a) 2820
b) 2, 3, 5, 47
c) 4, 6, 10, 12, 15, 20, 30, 60, 94, 141, 188, 235, 282, 470, 564, 705, 940, 1410 and 2820
d) 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 47, 60, 94, 141, 188, 235, 282, 470, 564, 705, 940, 1410 and 2820
Ans: c) 4, 6, 10, 12, 15, 20, 30, 60, 94, 141, 188, 235, 282, 470, 564, 705, 940, 1410 and 2820
3) 2820 is even composite number because
a) It has factors 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 47, 60, 94, 141, 188, 235, 282, 470, 564, 705, 940, 1410 and 2820
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c