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

What 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:

• 91 ÷ 91 = 1
• 91 ÷ 7 = 13

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, 20

Factors 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).