Is 464 is a Composite number

 Is 464 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 464 is composite or not first we have to find its factors.

 

Factors of 464:

  • If we have taken numbers from 1, 2, 3…for checking factors of 464, we found that 464 has factors 1, 2, 4, 8, 16, 29, 58, 116, 232 and 464. Hence, we must say that 464 is a composite number.
  • Thus, 464 is the composite umber.
  • If we multiply 464 by 1, 2, 3 then we get the multiples of 464 which are 464, 928 and so on.

 

About the number 464:

  • 464 has more than two factors which are 1, 2, 4, 8, 16, 29, 58, 116, 232 and 464 and hence it is the composite number.
  • 464 is the even composite number and it is not the perfect square also.
  • If we divide 464 by 1, 2, 4, 8, 16, 29, 58, 116, 232 and 464 then we get remainder as zero. Hence, 1, 2, 4, 8, 16, 29, 58, 116, 232 and 464 are the factors of 464.

 

Note:

  • 464 is not the perfect square.
  • Factors of 464: 1, 2, 4, 8, 16, 29, 58, 116, 232 and 464
  • Prime factors of 464: 2, 29

 

Conclusion:

  • 464 is the composite number which has factors 1, 2, 4, 8, 16, 29, 58, 116, 232 and 464
  • And hence, 464 is not the prime number.

 

Multiple Choice Questions:

 

1) 464 is a

a) Prime number

b) odd number

c) Composite number

d) Both b and c

Ans: c) composite number

 

2) The non-prime factors of a composite number 464 are

a) 2

b) 2, 29

c) 1, 4, 8, 16, 58, 116, 232 and 464

d) 1, 2, 4, 8, 16, 29, 58, 116, 232 and 464

Ans: c) 1, 4, 8, 16, 58, 116, 232 and 464

 

3) 464 is the composite number because

a) It has two factors

b) More than two factors

c) Divisible by 2

d) Both b and c

Ans: b) more than two factors


Updated: December 6, 2021 — 2:28 pm

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