Is 4650 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 4650 is composite or not first we have to find its factors.
Contents
Factors of 4650:
- If we have taken numbers from 1, 2, 3…for checking factors of 4650 we found that 4650 has factors 1, 2, 3, 5, 6, 10, 15, 25, 30, 31, 50, 62, 75, 93, 150, 155, 186, 310, 465, 775, 930, 1550, 2325 and 4650. Hence, we must say that 4650 is a composite number.
- Thus, 4650 is the composite number.
- If we multiply 4650 by 1, 2, 3 then we get the multiples of 4650 which are 4650, 9300 and so on.
About the number 4650:
- 4650 has more than two factors which are 1, 2, 3, 5, 6, 10, 15, 25, 30, 31, 50, 62, 75, 93, 150, 155, 186, 310, 465, 775, 930, 1550, 2325 and 4650 and hence it is the composite number.
- 4650 is the even composite number and it is not the perfect square also.
- If we divide 4650 by, 1, 2, 3, 5, 6, 10, 15, 25, 30, 31, 50, 62, 75, 93, 150, 155, 186, 310, 465, 775, 930, 1550, 2325 and 4650 then we get remainder as zero. Hence, 1, 2, 3, 5, 6, 10, 15, 25, 30, 31, 50, 62, 75, 93, 150, 155, 186, 310, 465, 775, 930, 1550, 2325 and 4650 are the factors of 4650.
Note:
- 4650 is not the perfect square.
- Factors of 4650: 1, 2, 3, 5, 6, 10, 15, 25, 30, 31, 50, 62, 75, 93, 150, 155, 186, 310, 465, 775, 930, 1550, 2325 and 4650
- Prime factors of 4650: 2, 3, 5, 31
Conclusion:
- 4650 is the composite number which has factors, 1, 2, 3, 5, 6, 10, 15, 25, 30, 31, 50, 62, 75, 93, 150, 155, 186, 310, 465, 775, 930, 1550, 2325 and 4650
- And hence, 4650 is not the prime number.
Multiple Choice Questions:
1) 4650 is a
a) Prime number
b) even number
c) even Composite number
d) Both a and c
Ans: c) even composite number
2) The prime factors of a composite number 4650 are
a) 4650
b) 2, 3, 5, 31
c) 6, 10, 15, 25, 30, 50, 62, 75, 93, 150, 155, 186, 310, 465, 775, 930, 1550, 2325 and 4650
d) 1, 2, 3, 5, 6, 10, 15, 25, 30, 31, 50, 62, 75, 93, 150, 155, 186, 310, 465, 775, 930, 1550, 2325 and 4650
Ans: b) 2, 3, 5, 31
3) 4650 is even composite number because
a) It has factors 1, 2, 3, 5, 6, 10, 15, 25, 30, 31, 50, 62, 75, 93, 150, 155, 186, 310, 465, 775, 930, 1550, 2325 and 4650
b) It has more than two factors
c) Divisible by 2
d) all
Ans: d) all