What are the Factors of 62? | Easy Guide

Factors of 62

Factors of 62 are those numbers that divide 62 equally without leaving any remainder.

It is possible to express the factors of 62 in both positive and negative terms.

 For example, the pair factor of 62 can be written (1, 62) or (-1, -62). The original number 62 will result from multiplying -1 by -62.

Using the prime factorization method, I will discuss the factors of 62 and the positive and negative pair factors of 62. I hope you will understand it well.

What are the Factors of 62?

Factors of 60 are the numbers that divide 62 exactly and leave a remainder of 0. The number 62 is a composite number; it has many factors other than 1 and the number itself. The number 62 has 4 factors. Thus, factors 62 are 1, 2, 31, and 62. Similarly, the negative factors of 62 are -1, -2, -31, and -62.

Factors of 62: 1, 2, 31, and 62.

Prime Factorization of 62: 2 × 31.

What are the factors of -62?

When we multiply two numbers, and we get -62 as a product, those numbers are the factors of -62.

 Here is the explanation:

-1 × 62 = -62

 1  ×-62 = -62

-2 × 31 = -62

 2 ×  -31 = -62

We can get -62by having (-1, 62) and(-2, 31) as a pair of factors. Similarly, we can also get -62 by having (1, -62) and(2, -31) as a pair of factors.

Pair Factors of 62

Pair factors of 62 are the numbers multiplied in pairs to form the number 62. The following are the positive and negative pair factors of 62:

Positive Pair Factors of 62:

Hence, (1, 62) and (2, 31) are the positive pair factors of 62.

Negative Pair Factors of 62:

Negative pair factors are therefore (-1, -62) and (-2, -31).

Factors of 62 by Division Method

The division method is used to find the factors of 62. According to this method, the number 62 can be divided by multiple integers.

The integers are factors of 62 if they divide the number 62 evenly and leave a remainder of 0 at the end. We will now divide 62 by 1 and continue with different integers.

• 62/1 = 62 (Factor = 1 and Remainder = 0)
• 62/2 = 31 (Factor = 2 and Remainder = 0)
• 62/31 = 2 (Factor = 31 and Remainder = 0)
• 62/62 = 1 (Factor = 62 and Remainder = 0)

There is a remainder if any number other than 1, 2, 31, and 62 divides 62. Thus, 62 has the following factors:

 1, 2, 31, and 62.

Prime Factorization of 62

We know that 62 is a composite number, hence we can also write it as the product of its prime factors.

To factorize 62, we have to do the following:

Consider a pair factor of 62, such as (1, 62). After this, you have to find the two which can be multiplied, resulting in the original number 62.

Thus, 62 is the product of 2 and 31.

 The numbers 2 and 31 here can never be split further since both are prime numbers.

Thus, the prime factorization of 62 is 2 × 31.

Solved Examples

Example 1:

Find the common factor between 24 and 31.

Solution:

There are eight factors of 24: 1, 2, 3, 4, 6, 8, 12, and 24.

There are two factors in 31: 1 and 31.

Thus, 24 and 31 share 1 as a common factor.

Example 2:

Find the common factor between 62 and 61.

Solution:

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

Factors 61 are 1 and 61.

Therefore, 62 and 61 have a common factor of 1.

Example 3:

Calculate the common factors of 26 and 63.

Solution:

1, 2, 13, and 26 are the factors of 26.

63 has the factors 1, 3, 7, 9, 21, and 63.

Therefore, 26 and 63 have a common factor of 1.

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