Is 3100 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 3100 is composite or not first we have to find its factors.
Contents
Factors of 3100:
- If we have taken numbers from 1, 2, 3…for checking factors of 3100, we found that 3100 has factors 1, 2, 4, 5, 10, 20, 25, 31, 50, 62, 100, 124, 155, 310, 620, 775, 1550 and 3100. Hence, we must say that 3100 is a composite number.
- Thus, 3100 is the composite number.
- If we multiply 3100 by 1, 2, 3 then we get the multiples of 3100 which are 3100, 6200 and so on.
About the number 3100:
- 3100 has more than two factors which are 1, 2, 4, 5, 10, 20, 25, 31, 50, 62, 100, 124, 155, 310, 620, 775, 1550 and 3100 and hence it is the composite number.
- 3100 is the even composite number and it is not the perfect square also.
- If we divide 3100 by, 1, 2, 4, 5, 10, 20, 25, 31, 50, 62, 100, 124, 155, 310, 620, 775, 1550 and 3100 then we get remainder as zero. Hence, 1, 2, 4, 5, 10, 20, 25, 31, 50, 62, 100, 124, 155, 310, 620, 775, 1550 and 3100 are the factors of 3100.
Note:
- 3100 is not the perfect square.
- Factors of 3100: 1, 2, 4, 5, 10, 20, 25, 31, 50, 62, 100, 124, 155, 310, 620, 775, 1550 and 3100
- Prime factors of 3100: 2, 5, 31
Conclusion:
- 3100 is the composite number which has factors, 1, 2, 4, 5, 10, 20, 25, 31, 50, 62, 100, 124, 155, 310, 620, 775, 1550 and 3100
- And hence, 3100 is not the prime number.
Multiple Choice Questions:
1) 3100 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 3100 are
a) 3100
b) 2, 5, 31
c) 4,10, 20, 25, 50, 62, 100, 124, 155, 310, 620, 775, 1550 3100
d) 1, 2, 4, 5, 10, 20, 25, 31, 50, 62, 100, 124, 155, 310, 620, 775, 1550 and 3100
Ans: c) 4, 10, 20, 25, 50, 62, 100, 124, 155, 310, 620, 775, 1550 and 3100
3) 3100 is even composite number because
a) It has factors 1, 2, 4, 5, 10, 20, 25, 31, 50, 62, 100, 124, 155, 310, 620, 775, 1550 and 3100
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: d) both a and c