**___________ is a factor of every number and every number is a factor of _____________.**

__Question:__Choose the suitable pair from the following.

**Options:**

A. | 2, next number | |

B. | 2, itself | |

C. | 1, itself | |

D. | 1, next number |

**Answer: Option C**

: C

1 is an exact divisor of all the numbers.Also, any number is divisible byitself.

Therefore,1 is a factor of every number and every number is a factor of itself.

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## More Questions on This Topic :

- 81, 82, 83, 84, 85, 86, 87
- 90, 91, 92, 93, 94, 95, 96
- 65, 67, 68, 69, 70, 71, 72
- 46, 47, 48, 49, 50, 51, 52

**Answer: Option B**

: B

All the numbers in the option:90, 91, 92, 93, 94, 95, 96have more than 2 factors, hence they are all composite numbers.

- a number whose sum of factors is equal to twice the number.
- a number whose sum of its digits is equal to the product of its digits.
- a number whose sum of factors is equal to thrice the number.
- a number which is co-prime to every other number.

**Answer: Option A**

: A

A perfect number is a number for which the sum of all its factors is equal to twice the number. For example, 6 is a perfect number since the sum ofits factors 1, 2, 3 and 6 is 12 i.e. twice of 6.

Perfect numbers are also defined as those numbers that equalthe sum of all their factorsincluding 1 butexcluding the number itself.

Taking the same example of 6: sum of its factors excluding the numberitself i.e 6 = 1+2+3 = 6.

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