Is 1776 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 1776 is composite or not first we have to find its factors.
Factors of 1776:
- If we have taken numbers from 1, 2, 3…for checking factors of 1776, we found that 1776 has factors 1, 2, 3, 4, 6, 8, 12, 16, 24, 37, 48, 74, 111, 148, 222, 296, 444, 592, 888 and 1776. Hence, we must say that 1776 is a composite number.
- Thus, 1776 is the composite number.
- If we multiply 1776 by 1, 2, 3 then we get the multiples of 1776 which are 1776, 3552 and so on.
About the number 1776:
- 1776 has more than two factors which are 1, 2, 3, 4, 6, 8, 12, 16, 24, 37, 48, 74, 111, 148, 222, 296, 444, 592, 888 and 1776 and hence it is the composite number.
- 1776 is the even composite number and it is not the perfect square also.
- If we divide 1776 by 1, 2, 3, 4, 6, 8, 12, 16, 24, 37, 48, 74, 111, 148, 222, 296, 444, 592, 888 and 1776 then we get remainder as zero. Hence, 1, 2, 3, 4, 6, 8, 12, 16, 24, 37, 48, 74, 111, 148, 222, 296, 444, 592, 888 and 1776 are the factors of 1776.
Note:
- 1776 is not the perfect square.
- Factors of 1776: 1, 2, 3, 4, 6, 8, 12, 16, 24, 37, 48, 74, 111, 148, 222, 296, 444, 592, 888 and 1776
- Prime factors of 1776: 2, 3, 37
Conclusion:
- 1776 is the composite number which has factors 1, 2, 3, 4, 6, 8, 12, 16, 24, 37, 48, 74, 111, 148, 222, 296, 444, 592, 888 and 1776
- And hence, 1776 is not the prime number.
Multiple Choice Questions:
1) 1776 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 1776 are
a) 1776
b) 2, 3, 37
c) 1, 4, 6, 8, 12, 16, 24, 48, 74, 111, 148, 222, 296, 444, 592, 888 and 1776
d) 1, 2, 3, 4, 6, 8, 12, 16, 24, 37, 48, 74, 111, 148, 222, 296, 444, 592, 888 and 1776
Ans: c) 1, 4, 6, 8, 12, 16, 24, 48, 74, 111, 148, 222, 296, 444, 592, 888 and 1776
3) 1776 is composite number because
a) It has factors 1, 2, 3, 4, 6, 8, 12, 16, 24, 37, 48, 74, 111, 148, 222, 296, 444, 592, 888 and 1776
b) It has only two factors
c) Divisible by 2
d) Both a and c
Ans: a) it has factors 1, 2, 3, 4, 6, 8, 12, 16, 24, 37, 48, 74, 111, 148, 222, 296, 444, 592, 888 and 1776