Is 630 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 630 is composite or not first we have to find its factors.
Contents
Factors of 630:
- If we have taken numbers from 1, 2, 3…for checking factors of 630, we found that 630 has factors 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315 and 630. Hence, we must say that 630 is a composite number.
- Thus, 630 is the composite umber.
- If we multiply 630 by 1, 2, 3 then we get the multiples of 630 which are 630, 1260 and so on.
About the number 630:
- 630 has more than two factors which are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315 and 630 and hence it is the composite number.
- 630 is the even composite number and it is not the perfect square also.
- If we divide 630 by 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315 and 630 then we get remainder as zero. Hence, 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315 and 630 are the factors of 630.
Note:
- 630 is not the perfect square.
- Factors of 630: 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315 and 630
- Prime factors of 630: 2, 3, 5, 7
Conclusion:
- 630 is the composite number which has factors 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315 and 630
- And hence, 630 is not the prime number.
Multiple Choice Questions:
1) 630 is a
a) Prime number
b) odd number
c) Composite number
d) Both b and c
Ans: c) composite number
2) The non-prime factors of a composite number 630 are
a) 1
b) 2, 3, 5 7
c) 1, 6, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315 and 630
d) 1, 6, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315 and 630
Ans: c) 1, 6, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315 and 630
3) 630 is the composite number because
a) It has two factors
b) More than two factors
c) Divisible by 2
d) Both b and c
Ans: b) more than two factors