Factors of 91
Factors of 91 are numbers that, when multiplied in pairs give the product as 91. There are 4 factors of 91 of which 91 itself is the biggest factor and its positive factors are 1, 7, 13 and 91. The Prime Factors of 91 are 1, 7, 13, 91 and its Factors in Pairs are (1, 91) and (7, 13).
Factors of 91: 1, 7, 13 and 91 Negative Factors of 91: -1, -7, -13 and -91 Prime Factors of 91: 7, 13 Prime Factorization of 91: 7 × 13 = 7 × 13 Sum of Factors of 91: 112 1. What Are the Factors of 91? 2. How to Calculate the Factors of 91? 3. Factors of 91 by Prime Factorization 4. Factors of 91 in Pairs 5. FAQs on Factors of 91What Are the Factors of 91?
Factors of 91 are those numbers that exactly divide it and give the remainder as 0. For example, 91 ÷ 91 = 1. We get 1 as the quotient and 0 as the remainder. This means 91 is divisible by 91. Hence, the factors of 91 are 1 and 91.
How to Calculate the Factors of 91?
We can use different methods to find the factors of 91, such as prime factorization and the division method.
In factors of 91 by prime factorization, we express 91 as a product of its prime factors and in the division method, we see what numbers divide 91 exactly without a remainder.
Factors of 91 By Division Method
The division shows that the number 91 is exactly divisible by 1, 7, 13, and 91.
Hence, factors of 91 by division method are:
Hence, the factors of 91 are 1, 7, 13, and 91.
Explore factors using illustrations and interactive examples.
Factors of 121- The factors of 121 are 1, 11, 121 Factors of 125 - The factors of 125 are 1, 5, 25, 125 Factors of 128 - The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128 Factors of 112 - The factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112 Factors of 512 - The factors of 512 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512 Factors of 20 - The factors of 1, 2, 4, 5, 10, 20Factors of 91 by Prime Factorization
The factors of 91 can be represented by the factor tree method as:
The factors of 91 can be represented by the upside-down division method as:
The factors of 91 by prime factorization are 1, 7, 13 and 91. Here, 7, and 13 are the prime factors of 91.
Factors of 91 in Pairs
The two numbers which, when multiplied, give 91 as the product are known as the pair factors of 91.
1 x 91= 91
13 x 7 = 91
Therefore, factors of 91 in pairs are (1, 91) and (7, 13).
Since the product of two negative numbers is positive, The negative factor pairs of 91 are (-1, -91) and (-7, -13).
Important Notes:
The numbers which we multiply to get 91 are the factors of 91. Factors of 91 are 1, 7, 13, and 91. 1 is a universal factor. It is a factor of all numbers. The number itself is a factor of the number as it divides itself exactly. Pair factors of a number refer to pairs of two numbers which, when multiplied, give the original number. Factors of 91 in pairs are (1, 91) and (7, 13).Factors of 91 Solved Examples
Example 1: Help Andy list the factors of 91 and find the positive pair factors.
Solution:
Factors of 91 are the numbers that divide 91 exactly without leaving any remainder.
Factors of 91 are 1, 7, 13, and 91.
Pair factors of 91 are the pairs of two numbers which, when multiplied, give 91 as the product.
We know that,
1 × 91 = 91
7 × 13 = 91
13 × 7 = 91
91 × 1 = 91
Hence, pair factors of 91 are (1, 91) and (7, 13).
Example 2:
Amy wants to identify which number on multiplying with (-7) gives 91? Can you help her?
Solution:
To find this, we need to divide 91 by -7 = 91 ÷ -7 = -13
-13 on multiplying with -7 gives 91.
Example 3: Find the product of all the prime factors of 91.
Solution:
Since, the prime factors of 91 are 7, 13. Therefore, the product of prime factors = 7 × 13 = 91.
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FAQs on Factors of 91
What are the Factors of 91?
The factors of 91 are 1, 7, 13, 91 and its negative factors are -1, -7, -13, -91.
What are the Prime Factors of 91?
The prime factors of 91 are 7, 13.
How Many Factors of 11 are also common to the Factors of 91?
Since, the factors of 91 are 1, 7, 13, 91 and factors of 11 are 1, 11. Hence, 91 and 11 have only one common factor which is 1. Therefore, 91 and 11 are co-prime.
What is the Sum of the Factors of 91?
All the Factors of 91 are 1, 7, 13, 91 and therefore the sum of all these factors is 1 + 7 + 13 + 91 = 112
What is the Greatest Common Factor of 91 and 27?
The factors of 91 are 1, 7, 13, 91 and the factors of 27 are 1, 3, 9, 27. 91 and 27 have only one common factor which is 1. This implies that 91 and 27 are co-prime.
Hence, the Greatest Common Factor (GCF) of 91 and 27 is 1.
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