Is 1780 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 1780 is composite or not first we have to find its factors.
Contents
Factors of 1780:
- If we have taken numbers from 1, 2, 3…for checking factors of 1780, we found that 1780 has factors 1, 2, 4, 5, 10, 20, 89, 178, 356, 445, 890 and 1780. Hence, we must say that 1780 is a composite number.
- Thus, 1780 is the composite number.
- If we multiply 1780 by 1, 2, 3 then we get the multiples of 1780 which are 1780, 3560 and so on.
About the number 1780:
- 1780 has more than two factors which are 1, 2, 4, 5, 10, 20, 89, 178, 356, 445, 890 and 1780 and hence it is the composite number.
- 1780 is the even composite number and it is not the perfect square also.
- If we divide 1780 by 1, 2, 4, 5, 10, 20, 89, 178, 356, 445, 890 and 1780 then we get remainder as zero. Hence, 1, 2, 4, 5, 10, 20, 89, 178, 356, 445, 890 and 1780 are the factors of 1780.
Note:
- 1780 is not the perfect square.
- Factors of 1780: 1, 2, 4, 5, 10, 20, 89, 178, 356, 445, 890 and 1780
- Prime factors of 1780: 2, 5, 89
Conclusion:
- 1780 is the composite number which has factors 1, 2, 4, 5, 10, 20, 89, 178, 356, 445, 890 and 1780
- And hence, 1780 is not the prime number.
Multiple Choice Questions:
1) 1780 is a
a) Prime number
b) Odd number
c) Composite number
d) Both a and c
Ans: c) composite number
2) The non-prime factors of a composite number 1780 are
a) 1780
b) 2, 5, 89
c) 1, 4, 10, 20, 178, 356, 445, 890 and 1780
d) 1, 2, 4, 5, 10, 20, 89, 178, 356, 445, 890 and 1780
Ans: c) 1, 4, 10, 20, 178, 356, 445, 890 and 1780
3) 1780 is composite number because
a) It has factors 1, 2, 4, 5, 10, 20, 89, 178, 356, 445, 890 and 1780
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) it has factors 1, 2, 4, 5, 10, 20, 89, 178, 356, 445, 890 and 1780