Factors of 91 space the number that division the original number completely or evenly. The two numbers that an outcome in 91, after ~ multiplication, room the pair components of 91.

The factors of real number, 91, space 1, 7 13, and 91. They room all integers and not fractions. To find the factors of a number, 91, we can use the administrate method.

*

In the factorization method, an initial take the numbers, 1 and 91 as factors and also continue through finding the other pair the multiples the 91 which provides the outcomes as an original number. To know this an approach in a far better way, read the write-up below to find the factors of 91 in pairs. Also, the prime determinants of 91 with the help of the department method is questioned here

Pair determinants of 91

To uncover the pair factors, main point the 2 numbers in a pair to gain the initial number as 91, together numbers space as follows


Pair Factors
1 × 91 = 91 ⇒ (1, 91)7 × 13 = 91 ⇒ (7, 13)

Therefore, the pair determinants are (1,91) and (7, 13).

You are watching: What is the prime factorization of 91

Similarly, we deserve to write an unfavorable pair factors. If we multiply two an unfavorable factors, climate we gain the initial number, i beg your pardon is positive.

(-1) × (-91) = 91

(-7) × (-13) = 91

Therefore, the an unfavorable pair factors are (-1, -91) and also (-7, -13).

How to calculate the components of 91?

Learn the adhering to steps to calculate the determinants of a number 91.

First, compose the number 91Find the 2 numbers, which provide the an outcome as 91 under the multiplication, speak 7 and also 13, such together 7 × 13 = 91.We know that 7 and 13 room prime numbers that each number has actually only 2 factors, i.e., 1 and also the number itself. So, it cannot be more factorized.

7 = 1 × 7

13 = 1 x 13

Therefore, the administrate of 91 is written as 91 = 7 x 13 x 1Finally, compose down all the distinct numbers which we can attain from 7 x 13 x 1
Factors of 91
1, 7, 13, and also 91

Prime components of 91

The number 91 is a composite and it should have prime factors. Now let united state know how to calculate the element factors.

The an initial step is to divide the number 91 through the the smallest prime factor, to speak 7.

91 ÷ 7 = 13

When you divide 13 by 7, girlfriend will get a fraction, that cannot it is in a aspect of a number. So continue with the following prime factor, speak 13

13 ÷ 13 = 1

Finally, we got the number 1 at the finish of the department process. So that we cannot continue further. So, the prime factors are composed as 7 x 13, where 7 and also 13 are the prime numbers.

Solved Examples

Q.1: If there room 13 members in a hall and also each of them has actually 7 books, then how countless total publications are there?

Solution: Given,

Number the members = 13

Number of books each member has actually = 7 

Total number of books = 13 x 7 = 91

Q.2: What room the common factors the 91 and 126?

Solution: We know that the components of 91 room 1, 7, 13, 91. 

Factors that 126 = 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Therefore, 1 and also 7 are the only typical factors of 91 and 126.

Register v BYJU’S – The Learning application to learn the factors of 91 and also the factors and prime components of various other numbers by factorization and department method.


Frequently Asked concerns – FAQs


What are the determinants of 91?


The determinants of 91 space 1, 7, 13 and also 91. So basically, apart from 1 and 91 itself, 7 and also 13 room the only factors.

See more: Which Of The Following Is The Best Description Of A Control For An Experiment? ?


Are the multiples and also factors the 91 the same?


Multiples and factors space two different ideas in Mathematics, both are not the same.