Is 1378 is a Composite number

 Is 1378 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 1378 is composite or not first we have to find its factors.

 

Factors of 1378:

  • If we have taken numbers from 1, 2, 3…for checking factors of 1378, we found that 1378 has factors 1, 2, 13, 26, 53, 106, 689 and 1378. Hence, we must say that 1378 is a composite number.
  • Thus, 1378 is the composite number.
  • If we multiply 1378 by 1, 2, 3 then we get the multiples of 1378 which are 1378, 2756 and so on.

 

About the number 1378:

  • 1378 has more than two factors which are 1, 2, 13, 26, 53, 106, 689 and 1378 and hence it is the composite number.
  • 1378 is the even composite number and it is not the perfect square also.
  • If we divide 1378 by 1, 2, 13, 26, 53, 106, 689 and 1378 then we get remainder as zero. Hence, 1, 2, 13, 26, 53, 106, 689 and 1378 are the factors of 1378.

 

Note:

  • 1378 is not the perfect square.
  • Factors of 1378: 1, 2, 13, 26, 53, 106, 689 and 1378
  • Prime factors of 1378: 2, 13, 53

 

Conclusion:

  • 1378 is the composite number which has factors 1, 2, 13, 26, 53, 106, 689 and 1378
  • And hence, 1378 is not the prime number.

 

Multiple Choice Questions:

 

1) 1378 is a

a) Even number

b) Not a perfect square number

c) Composite number

d) all

Ans: d) all

 

2) The composite factors of a composite number 1378 are

a) 26, 106, 689 and 1378

b) 2, 13, 53

c) 1, 26, 106, 689 and 1378

d) 1, 2, 13, 26, 53, 106, 689 and 1378

Ans: a) 26, 106, 689 and 1378

 

3) 1378 is composite number because

a) It has factors 1, 2, 13, 26, 53, 106, 689 and 1378

b) It has more than two factors

c) Divisible by 2

d) Both a and b

Ans: d) both a and b

Updated: December 17, 2021 — 4:14 pm

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