Is 3720 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 3720 is composite or not first we have to find its factors.
Factors of 3720:
- If we have taken numbers from 1, 2, 3…for checking factors of 3720, we found that 3720 has factors 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 31, 140, 60, 62, 93, 120, 124, 155, 186, 248, 310, 372, 465, 620, 744, 930, 1240, 1860 and 3720. Hence, we must say that 3720 is a composite number.
- Thus, 3720 is the composite number.
- If we multiply 3720 by 1, 2, 3 then we get the multiples of 3720 which are 3720, 7440 and so on.
About the number 3720:
- 3720 has more than two factors which are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 31, 140, 60, 62, 93, 120, 124, 155, 186, 248, 310, 372, 465, 620, 744, 930, 1240, 1860 and 3720 and hence it is the composite number.
- 3720 is the even composite number and it is not the perfect square also.
- If we divide 3720 by, 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 31, 140, 60, 62, 93, 120, 124, 155, 186, 248, 310, 372, 465, 620, 744, 930, 1240, 1860 and 3720 then we get remainder as zero. Hence, 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 31, 140, 60, 62, 93, 120, 124, 155, 186, 248, 310, 372, 465, 620, 744, 930, 1240, 1860 and 3720 are the factors of 3720.
Note:
- 3720 is not the perfect square.
- Factors of 3720: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 31, 140, 60, 62, 93, 120, 124, 155, 186, 248, 310, 372, 465, 620, 744, 930, 1240, 1860 and 3720
- Prime factors of 3720: 2, 3, 5, 31
Conclusion:
- 3720 is the composite number which has factors, 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 31, 140, 60, 62, 93, 120, 124, 155, 186, 248, 310, 372, 465, 620, 744, 930, 1240, 1860 and 3720
- And hence, 3720 is not the prime number.
Multiple Choice Questions:
1) 3720 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 3720 are
a) 3720
b) 2, 3, 5, 31
c) 4, 6, 8, 10, 12, 15, 20, 24, 30, 140, 60, 62, 93, 120, 124, 155, 186, 248, 310, 372, 465, 620, 744, 930, 1240, 1860 and 3720
d) 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 31, 140, 60, 62, 93, 120, 124, 155, 186, 248, 310, 372, 465, 620, 744, 930, 1240, 1860 and 3720
Ans: b) 2, 3, 5, 31
3) 3720 is even composite number because
a) It has factors 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 31, 140, 60, 62, 93, 120, 124, 155, 186, 248, 310, 372, 465, 620, 744, 930, 1240, 1860 and 3720
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all