Factors of 89

Factors of 89 are the list of integers that can be evenly divided into 89. There are overall 2 factors of 89 i.e. 1 and 89 where 89 is the biggest factor. The sum of all factors of 89 is 90. Its Prime Factors are 1, 89, and (1, 89) are Pair Factors.

• Factors of 89: 1 and 89
• Negative Factors of 89: -1 and -89
• Prime Factors of 89: 89
• Prime Factorization of 89: 89
• Sum of Factors of 89: 90

What are the Factors of 89?

Factors of 89 are the numbers which when multiplied in pairs give the product as 89. Factors of 89 are those numbers that exactly divide it and gives the remainder as 0.

• For example,  89 ÷ 89 = 1

You get 1 as a quotient and 0 as the remainder. This means 89 is divisible by 89. Hence the factors of 89 are 1 and 89.

How to Calculate the Factors of 89?

We can use different methods to find factors of 89 such as prime factorization and the division method. In prime factorization, we express 89 as a product of its prime factors and in the division method, we see what numbers divide 89 exactly without leaving a remainder.

Hence, the factors of 89 are 1 and 89.

Explore factors using illustrations and interactive examples

• Factors of 86 - The factors of 86 are 1, 2, 43, 86
• Factors of 96 - The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
• Factors of 72 - The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
• Factors of 76 - The factors of 76 are 1, 2, 4, 19, 38, 76
• Factors of 75 - The factors of 75 are 1, 3, 5, 15, 25, 75
• Factors of 37 - The factors of 37 are 1, 37

Factors of 89 by Prime Factorization

When we use the division method to find factors of 89. The division shows that the number 89 is exactly divisible by 1 and 89.

The factors of 89 can be represented by the upside-down division method as:

Hence, the factors of 89 are 1 and 89. Here, 89 is a prime number.

Factors of 89 in Pairs

• The pair of numbers which gives 89 when multiplied is known as pair factors of 89
• 1 × 89 and 89 × 1
• Therefore, factors of 89 in pairs are (1, 89) and (89, 1)
• When we multiply two negative numbers we get the positive resultant.
• If you multiply -1 and -89 we get 89 as a resultant, -1 × -89 = 89.
• 89 also has negative pair factors (-1, -89)

Think Tank:

• Can you think why 89 is a prime number?
• Think about the multiple of 89 which is also a factor of 89
• What can be the prime factors of 89?

Important Notes:

• The numbers which we multiply to get 89 are the factors of 89
• Factors of 89 are 1 and 89
• Pair factors of a number are a pair of two numbers which, when multiplied, give the original number.
• Factors of 89 in pairs are (1, 89) and (89, 1)