Is 1407 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 1407 is composite or not first we have to find its factors.
Contents
Factors of 1407:
- If we have taken numbers from 1, 2, 3…for checking factors of 1407, we found that 1407 has factors 1, 3, 7, 21, 67, 201, 469 and 1407. Hence, we must say that 1407 is a composite number.
- Thus, 1407 is the composite number.
- If we multiply 1407 by 1, 2, 3 then we get the multiples of 1407 which are 1407, 2814 and so on.
1407 is a Composite number or Prime number
About the number 1407:
- 1407 has more than two factors which are 1, 3, 7, 21, 67, 201, 469 and 1407 and hence it is the composite number.
- 1407 is the odd composite number and it is not the perfect square also.
- If we divide 1407 by 1, 3, 7, 21, 67, 201, 469 and 1407 then we get remainder as zero. Hence, 1, 3, 7, 21, 67, 201, 469 and 1407 are the factors of 1407
Note:
- 1407 is not the perfect square.
- Factors of 1407: 1, 3, 7, 21, 67, 201, 469 and 1407
- Prime factors of 1407: 3, 7, 67
Conclusion:
- 1407 is the composite number which has factors 1, 3, 7, 21, 67, 201, 469 and 1407.
- And hence, 1407 is not the prime number.
Multiple Choice Questions:
1) 1407 is a
a) Even number
b) Prime number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The non-prime factors of a composite number 1407 are
a) 1
b) 3, 7, 67
c) 1, 21, 201, 469 and 1407
d) 1, 3, 7, 21, 67, 201, 469 and 1407
Ans: b) 1, 21, 201, 469 and 1407
3) 1407 is the odd composite number because
a) It has factors 1, 3, 7, 21, 67, 201, 469 and 1407
b) It has more than two factors
c) It is not divisible by 2
d) all
Ans: d) all