Question

What are the factors of 52?

Answer 1

Hint: For solving this question you should know about the factors of any number and how to calculate that. We can find the factors of any number by dividing that number by all the small numbers and its own number. And which will divide it completely, they are the factors of that number.

Complete step-by-step solution:
According to our question we have to find the factors of 52. As we know that the prime numbers are only divided by 1 and its own. So, the prime numbers have only two factors. The factors of composite numbers are always more than two. The prime factors of composite numbers are those factors which are also prime numbers such as 2, 3, 5, 7, 11. Examples of composite numbers are:

Composite numbers	Factors
90	1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
8	1, 2, 4 and 8
14	1, 2, 7 and 14
20	1, 2, 4, 5, 10 and 20
35	1, 5, 7 and 35

The factors of square numbers are the values which are squared to produce the original number. So, if we calculate the factors of 52, then:
$\dfrac{52}{1}=52$, with remainder 0
$\dfrac{52}{52}=1$, with remainder 0
$\dfrac{52}{2}=26$, with remainder 0
$\dfrac{52}{4}=13$, with remainder 0
$\dfrac{52}{13}=4$, with remainder 0
$\dfrac{52}{26}=2$, with remainder 0
So, the factors of 52 are 1, 2, 4, 13, 26 and 52.

Note: During calculating the factors of any number we have to be careful always for the remainder value of the division. If the remainder is not equal to zero, then it will not be a factor of that number. And the prime numbers do not have any other factor than 1 and their own value.