Is 413 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 413 is composite or not first we have to find its factors.
Contents
Factors of 413:
- If we have taken numbers from 1, 2, 3…for checking factors of 413, we found that 413 has factors 1, 7, 59 and 413. Hence, we must say that 413 is a composite number.
- Thus, 413 is the composite number.
- If we multiply 413 by 1, 2, 3 then we get the multiples of 413 which are 413, 826 and so on.
413 is a Composite number or Prime number
About the number 413:
- 413 has more than two factors which are 1, 7, 59 and 413 and hence it is the composite number.
- 413 is the odd composite number and it is not the perfect square also.
- If we divide 413 by 1, 7, 59 and 413 then we get remainder as zero. Hence, 1, 7, 59 and 413 are the factors of 413.
Note:
- 413 is not the perfect square.
- Factors of 413: 1, 7, 59 and 413
- Prime factors of 413: 7, 59
Conclusion:
- 413 is the composite number which has factors 1, 7, 59 and 413.
- And hence, 413 is not the prime number.
Multiple Choice Questions:
1) 413 is a
a) odd number
b) Prime number
c) Composite number
d) Both a and c
Ans: d) both a and c
2) The prime factors of a composite number 413 are
a) 1
b) 7, 59
c) 1 and 413
d) 1, 7, 59 and 413
Ans: b) 7, 59
3) 413 is the odd composite number because
a) It has factors 1, 7, 59 and 413
b) It is divisible by 2
c) It is not divisible by 2
d) Both a and c
Ans: d) both a and c