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Factors of 87 | Prime Factorization of 87 | Factor Tree of 87

Written by Prerit Jain

Updated on: 15 Feb 2023

Factors of 87 | Prime Factorization of 87 | Factor Tree of 87

Factors of 87 | Prime Factorization of 87 | Factor Tree of 87

Factors of 87: Factors of a number are the numbers that can divide the given number perfectly with zero as the remainder and also without any decimal points in the quotient. The factors of a number can be labeled as prime numbers and composite numbers based on the count of the factors of that number.

Composite numbers have more than two numbers as their factors and prime numbers have two or less than that as the factors. Further on reading this article, you can understand the factors of 87 and various methods to find the factors of 87.

What Are the Factors of 87?

The numbers that can divide the number 87 by zero remain, without any decimal points in the quotient are known as factors of 87. The number 87 is a composite number as it has more than two factors and they are 1, 3, 29, and 87.

Factors of 87: 1, 3, 29, and 87.
Negative Factors of 87: -1, -3, -29, and -87.
Prime Factorization of 87: 3 x 29
Pair Factors of 87: (1, 87) and (3, 29)
Prime Factors of 87: 3 and 29
Sum of Factors of 87: 120
Sum of Prime Factors of 87: 32
Factors of 87

What Are the Factors of 87 in Pairs?

The pair factors of 87 are the numbers that, on multiplying with each other, give 87 as the value. Pair factors of a number can be positive and negative.

Positive Pair Factors of 87

The positive pair factors of 87 are (1, 87) and (3, 29).

Positive Pair Factors of 87

Negative Pair Factors of 87

The negative pair factors of 87 are (-1, -87) and (-3, -29).

Negative Pair Factors of 87

What Is the Basic Prime Factorization Method of 87?

The Basic prime factorization method helps to find the prime factors of 87. The following are steps given below:

  • Step 1: For this purpose, let’s divide the number 87 by its smallest prime number 3.
  • Step 2: And the remainder obtained is 29. The number 29 is divisible by itself only.
  • Step 3: Now, the remainder is 1. Therefore, the prime factors of 87 are 3 and 29.

The image of the prime factorization of 87 is given below:

Prime Factorization of 87

How to Find Factors of 87 Through Division Method?

The division method helps to find the factors of a number by dividing the given number by the smallest prime number and again the obtained remainder is divided by the smallest number that can divide it. This process is continued till the remainder becomes 1. The steps involved in this process are given below:

  • 87 ÷ 1= 87
  • 87 ÷ 3 = 29
  • 87÷ 29 = 3
  • 87 ÷ 87 = 1

Therefore, the factors of 87 are 1, 3, 29, and 87.

What Is the Factor Tree of 87?

The factor tree method is really a good way to represent the factors of 87. As it shows the prime numbers and the composite numbers that can divide the given number. The steps involved in the factor tree method are given below:

  • Step 1: Let’s place the given number 87 at the top of the factor tree method and place the first pair factors of 87 in its branches which are 3 and 29.
  • Step 2: The numbers 3 and 29 are not further divisible. Therefore, the prime factors of 87 are 3 and 29.

Therefore, the prime factors of 87 are 3 and 29.

Factor tree of 87

Solved Examples

What are the pair factors of 87?
The pair factors of 87 are (1, 87) and (3, 29).

What is the sum of the factors of 87?
The sum of the factors of 87 is 120.

What are the factors of 87?
The factors of 87 are 1, 3, 29, and 87.

What is the sum of the prime factors of 87?
The sum of the prime factors of 87 is 32.

Frequently Asked Questions

What are the prime factors of 87?
The prime factors of 87 are 3 and 29.

How is 87 composite?
Yes, 87 is a composite number as it has more than two factors.

How many divisors does 87 have?
The factors of 87 itself are the divisors of 87 and they are 1, 3, 29, and 87.

What is the HCF of 87?
The HCF of 87 is 29.

What is the square of 87?
The square of 87 is 7569.

Written by

Prerit Jain

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