Factors of 62 are the list of integers that can be evenly divided into 62. There are 4 factors of 62 in all. 62 is one of the special two-digit numbers that has two prime numbers as its factors, besides 1 and the number itself. In this case, the two prime numbers are 2 and 31. In this lesson, we will calculate the factors of 62, along with its prime factors, and its factors in pairs. Solved examples are also provided for better understanding.

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Factors of 62 : 1, 2, 31, and 62Factors of -62: -1, -2, -31, and -62Prime Factorization of 62 : 62 = 2 × 31
1.What Are the Factors of 62?
2.How to Calculate Factors of 62?
3.Factors of 62 by Prime Factorization
4.Factors of 62 in Pairs
5.FAQs on Factors of 62

What are Factors of 62?

Before we start, let us first recall the definition of factor. A factor is a number that divides another number equally without leaving any remainder. The factors of 62 are 1, 2, 31, and 62.

How do we know that these are the factors of 62? Let us discuss this in the following section.

How to Calculate the Factors of 62?

The factors of 62 can be calculated in two ways.

Division methodPrime Factorization method

Factors of 62 By division method

To get the factors of 62, first we divide it by the number 1

62 ÷ 1 = 6262 × 1 = 62

Is the remainder zero? Yes! Next, we try with number 2:

62 ÷ 2 = 3131 × 2 = 62

The number 2 divides 62 completely, without leaving any remainder. In the same way, the numbers which divide 62 completely are considered to be the factors of 62. The numbers 1, 2, 31, and 62 divide the number 62 completely.

Therefore, the factors of 62 are 1, 2, 31, and 62. Explore factors using illustrations and interactive examples:


Factors of 62 By Prime Factorization


Prime factorization is a process of breaking down the composite number into the product of its prime factors. The process of prime factorization continues till we get quotient 1. We start dividing the number 62 with its smallest prime factor, which is 2.

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Therefore, the prime factors of 62 can be written as follows: 62 = 2 × 31.

Challenging Question:

What are the common prime factors of 62 and 26?Can you list the negative factors of 62?

Factors of 62 in Pairs

A pair of numbers, which gives 62 when multiplied together, is called the pair factor of 62

1 × 62 = 622 × 31 = 62

Therefore, the pair factors of 62 are (1, 62) and (2, 31). A number can have negative factors as well, because their product gives a positive number.Hence, the negative pair factors of 62 are (-1, -62) and (-2, -31)

Think Tank:

6.2 × 10 gives 62. Are 6.2 and 10 factors of 62? Think!

Example 2: Help Edwin find the factors of 62 and 64 in pairs.

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Solution:

Edwin should use the division method to find the factors of 62 and 64 in pairs. The factors of 62 are 1, 2, 31, and 62. Multiplying these factors together gives the product as 62:

1 × 62 = 62

2 × 31 = 62

Now, the pair factors of 62 can be listed. The pair factors of 62 are (1, 62) and (2, 31). The factors of 62 are 1, 2, 4, 8, 16, 32, and 64. Multiplying these factors together gives the product as 64

1 × 64 = 64

2 × 32 = 64

4 × 16 = 64

8 × 8 = 64

Now, the pair factors of 64 can be listed. The pair factors of 64 are (1, 64), (2, 32), (4, 16), and (8, 8).