Factors of 87

2. Steps to find factors of 87 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

Method 1: Division Method

To find the primefactors of 87 using the division method, follow these steps:

• Step 1. Start dividing 87 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 87, which is 3. Divide 87 by 3 to obtain the quotient (29).
  87 ÷ 3 = 29
• Step 3. Repeat step 1 with the obtained quotient (29).
  29 ÷ 29 = 1

So, the prime factorization of 87 is, 87 = 3 x 29.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 87 as shown below:

So, the prime factorization of 87 is, 87 = 3 x 29.

3. Find factors of 87 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 87 would be the two numbers which, when multiplied, give 87 as the result.

The following table represents the calculation of factors of 87 in pairs:

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 87. They are called negative pair factors.

Hence, the negative pairs of 87 would be ( -1 , -87 ) , ( -3 , -29 ) .

How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

Properties of factors

• Every number is a factor of zero (0), since 87 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 3, 29, 87 are exact divisors of 87.
• Factors of 87 are 1, 3, 29, 87. Each factor divides 87 without leaving a remainder.

Frequently Asked Questions

• How do you find factors of a negative number? ( eg. -87 )?

  Factors of -87 are -1, -3, -29, -87.

• What is the sum of all factors of 87?

  The sum of all factors of 87 is 120.

• What is prime factorization of 87?

  Prime factorization of 87 is 3 x 29.

• What are the pair factors of 87?

  Pair factors of 87 are (1,87), (3,29).

• What are six multiples of 87?

  First five multiples of 87 are 174, 261, 348, 435, 522, 609.

• Is 87 a whole number?

  Yes 87 is a whole number.

• Which is the smallest prime factor of 87?

  Smallest prime factor of 87 is 3.

• What are five multiples of 87?

  First five multiples of 87 are 174, 261, 348, 435, 522.

• Write all factors of 87?

  Factors of 87 are 1, 3, 29, 87.

Examples of Factors