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.