Is 1406 is a Composite number

 Is 1406 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 1406 is composite or not first we have to find its factors.

 

Factors of 1406:

  • If we have taken numbers from 1, 2, 3…for checking factors of 1406, we found that 1406 has factors 1, 2, 19, 37, 38, 74, 703 and 1406. Hence, we must say that 1406 is a composite number.
  • Thus, 1406 is the composite number.
  • If we multiply 1406 by 1, 2, 3 then we get the multiples of 1406 which are 1406, 2812 and so on.

 

About the number 1406:

  • 1406 has more than two factors which are 1, 2, 19, 37, 38, 74, 703 and 1406 and hence it is the composite number.
  • 1406 is the even composite number and it is not the perfect square also.
  • If we divide 1406 by 1, 2, 19, 37, 38, 74, 703 and 1406 then we get remainder as zero. Hence, 1, 2, 19, 37, 38, 74, 703 and 1406 are the factors of 1406.

 

Note:

  • 1406 is not the perfect square.
  • Factors of 1406: 1, 2, 19, 37, 38, 74, 703 and 1406
  • Prime factors of 1406: 2, 19, 37

 

Conclusion:

  • 1406 is the composite number which has factors 1, 2, 19, 37, 38, 74, 703 and 1406
  • And hence, 1406 is not the prime number.

 

Multiple Choice Questions:

 

1) 1406 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 1406 are

a) 38, 74, 703 and 1406

b) 2, 19, 37

c) 1, 38, 74, 703 and 1406

d) 1, 2, 19, 37, 38, 74, 703 and 1406

Ans: a) 38, 74, 703 and 1406

 

3) 1406 is composite number because

a) It has factors1, 2, 19, 37, 38, 74, 703 and 1406

b) It has more than two factors

c) Divisible by 2

d) Both a and b

Ans: d) both a and b

Updated: December 18, 2021 — 11:59 am

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