Question

What are the factors of 55?
(a) 1,7,55
(b) 1,5,11,55
(c) 1,7,9,55
(d) None of these

Answer 1

Hint: In this problem, we are trying to find the given factors of 55. To start with, we know any number has a factor as 1 and that number itself. Thus, we get two factors of the problem already. Then by factoring it and finding the prime factors will give us other needed factors.

Complete step by step solution:
According to the problem, we are trying to find the factors of 55.
We are trying to find the factors of 55 here.
Now, we know, every term has a factor in the form of 1 and that term itself.
So, we have two factors of 55 as 1 and 55.
Now, we will try to find other factors by factoring 55.
Factoring 55, we are getting, $55=11\times 5$
As, we can see, both 11 and 5 are prime numbers and thus can not be factorized anymore.
Then, 11 and 5 are two factors of 55 other than 1 and that number.
Thus, we get the factors of 55 are 1,5,11,55.

So, the correct answer is “Option b”.

Note: Factors of a number are defined as numbers that divide the original number evenly or exactly. The meaning of factor is a whole number that can divide a greater number evenly. Each prime number will have only two factors, i.e. 1 and number itself, whereas each composite number will have more than two factors, that include prime factors also.