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A Number Which is a Factor of Every Number is

A number which is a factor of every number is ___. A) 0 B) 1 C) 2 D) 5. Find the answer to this question and access a vast question bank that is customized for students.

A number which is a factor of every number is ___. 

A) 0 

B) 1 

C) 2 

D) 5

Answer: A number which is a factor of every number is B) 1.

There are at least two factors in any number: 1 and the number itself.

Explanation:

We utilise the definition of factors of a number to solve this problem. A factor of a number is an algebraic formula that divides any given integer evenly and leaves zero as the residue. We shall determine the number that is a factor of all numbers using this definition.

The complete step-by-step approach is as follows:

Factors, as we know, are all the numbers that divide a number fully, that is, without leaving any residue. Multiples are numbers that, when multiplied, yield the desired result. Each of these multiples can be classified as a factor of the specified integer.

We express each integer as a product of prime numbers to obtain the components since prime numbers do not leave any residue.

Consider the following numbers: 1, 8, 21, 29, and so on.

1 is a factor of 1.

1, 2, 4, and 8 are the factors of 8.

1, 3, 7, and 21 are the factors of 21.

1 and 29 are the factors of 29.

We can see that 1 is the biggest factor of itself and the lowest factor of any other number based on the information above.

As a result, 1 is the factor of all numbers.