Is 414 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 414 is composite or not first we have to find its factors.
Contents
Factors of 414:
- If we have taken numbers from 1, 2, 3…for checking factors of 414, we found that 414 has factors 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207 and 414. Hence, we must say that 414 is a composite number.
- Thus, 414 is the composite umber.
- If we multiply 414 by 1, 2, 3 then we get the multiples of 414 which are 414, 828 and so on.
About the number 414:
- 414 has more than two factors which are 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207 and 414 and hence it is the composite number.
- 414 is the even composite number and it is not the perfect square also.
- If we divide 414 by 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207 and 414 then we get remainder as zero. Hence, 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207 and 414 are the factors of 414.
Note:
- 414 is not the perfect square.
- Factors of 414: 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207 and 414
- Prime factors of 414: 2, 3, 23
Conclusion:
- 414 is the composite number which has factors 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207
- And hence, 414 is not the prime number.
Multiple Choice Questions:
1) 414 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 414 are
a) 2
b) 2, 3, 23
c) 1, 6, 9, 18, 46, 69, 138, 207 and 414
d) 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207 and 414
Ans: c) 2, 3, 23
3) 414 is the even composite number because
a) It has two factors
b) More than two factors
c) Divisible by 2
d) Both b and c
Ans: d) both b and c