Factors of 62 – Prime Factors, Factor Pairs & Examples

 Last updated: December 2025

The factors of 62 are the integers that divide 62 exactly without leaving any remainder. Understanding the factors of 62 is important in mathematics because they are used in simplifying fractions, finding common denominators, and solving algebraic equations.

Factors of 62 – Definition, Prime Factorization and Examples

What Are the Factors of 62?

A factor is a number that divides another number completely.
If a number divides 62 with no remainder, it is called a factor of 62.

Prime Factors of 62

Prime factors are prime numbers that divide a given number exactly.

To find the prime factors of 62, divide it by the smallest prime number:

62 ÷ 2 = 31

Since 31 is also a prime number, we stop here.

Prime factorization of 62:

62 = 2 × 31

So, the prime factors of 62 are 2 and 31.

How to Find the Factors of 62

To find all the factors of 62, we divide 62 by natural numbers and check whether the remainder is zero.


Division Result
62 ÷ 162
62 ÷ 231
62 ÷ 312
62 ÷ 621

Positive Factors of 62

The positive factors of 62 are:

  • 1
  • 2
  • 31
  • 62

Negative Factors of 62

Factors of an integer include both positive and negative numbers.

The negative factors of 62 are:

  • −1
  • −2
  • −31
  • −62

Factor Pairs of 62

Factor pairs are two numbers that multiply to give 62.

Positive Factor Pairs

  • 1 × 62 = 62
  • 2 × 31 = 62

Negative Factor Pairs

  • −1 × −62 = 62
  • −2 × −31 = 62

Applications of Factors of 62

Simplifying Fractions

Factors help reduce fractions to their simplest form.

Example:

124 ÷ 186

Both numbers are divisible by 62:

124 = 2 × 62
186 = 3 × 62

So,

124 / 186 = 2 / 3

Finding Common Denominators

Consider the fractions 3/31 and 5/62.

  • Factors of 31: 1, 31

  • Factors of 62: 1, 2, 31, 62

The common factor is 31, so it helps in finding a common denominator.

Solving Equations

Factors are useful in solving algebraic equations.

Example:

62x = 248

Divide both sides by 62:

x = 248 ÷ 62 = 4

Is 62 a Prime or Composite Number?

62 is a composite number because it has more than two factors.

FAQs on Factors of 62

What are the divisors of 62?

The divisors of 62 are 1, 2, 31, and 62.

How many prime factors does 62 have?

62 has two prime factors: 2 and 31.

What is the prime factorization of 62?

62 = 2 × 31

Final Summary

  • Factors of 62: 1, 2, 31, 62

  • Prime factorization: 2 × 31

  • 62 is a composite number

  • Factors of 62 are useful in fractions, equations, and number theory

Related Math Topics

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