Is 784 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 784 is composite or not first we have to find its factors.
Contents
Factors of 784:
- If we have taken numbers from 1, 2, 3…for checking factors of 784, we found that 784 has factors 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392 and 784. Hence, we must say that 784 is a composite number.
- Thus, 784 is the composite umber.
- If we multiply 784 by 1, 2, 3 then we get the multiples of 784 which are 784, 1568 and so on.
About the number 784:
- 784 has more than two factors which are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392 and 784 and hence it is the composite number.
- 784 is the even composite number and it is the perfect square also.
- If we divide 784 by 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392 and 784 then we get remainder as zero. Hence, 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392 and 784 are the factors of 784.
Note:
- 784 is the perfect square.
- Factors of 784: 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392 and 784
- Prime factors of 784: 2, 7
Conclusion:
- 784 is the composite number which has factors 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392 and 784
- And hence, 784 is not the prime number.
Multiple Choice Questions:
1) 784 is a
a) Odd number
b) Prime number
c) Composite number
d) Both b and c
Ans: c) composite number
2) The prime factors of a composite number 784 are
a) 1
b) 2, 7
c) 1, 4, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392 and 784
d) 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392 and 784
Ans: b) 2, 7
3) 784 is the composite number because
a) It has factors 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392 and 784
b) It has only prime factors
c) Divisible by 2
d) Both a and b
Ans: a) It has factors 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392 and 784