Factors of 62

The factors of 62 are the numbers that divide 62 evenly without leaving any remainder. The factors and the pair factors of 62 can be expressed in positive and negative form. For example, the pair factor of 62 is represented by (1, 62) or (-1, -62). If we multiply -1 and -62, it will result in the original number 62. In this article, we are going to discuss the factors of 62, the positive and negative pair factors of 62, and how to find the prime factors of 62 using the prime factorization method and solved examples.

Table of Contents:

What are the Factors of 62?

The numbers that divide 62 exactly and leave a remainder 0 are the factors of 60. As 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, the factors of 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.

Pair Factors of 62

The numbers that are multiplied together in pairs resulting in the number 62 are the pair factors of 62. The positive and negative pair factors of 62 are given below:

Positive Pair Factors of 62:

Positive Factors of 62

Positive Pair Factors of 62

1 × 62

(1, 62)

2 × 31

(2, 31)

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

Negative Pair Factors of 62:

Negative Factors of 62

Negative Pair Factors of 62

-1 × -62

(-1, -62)

-2 × -31

(-2, -31)

Therefore, the negative pair factors of 62 are (-1, -62) and (-2, -31).

Factors of 62 by Division Method

The factors of 62 are found by the division method. In this method, the number 62 is divisible by different integers. If the integers divide the number 62 evenly and leave a remainder 0, then the integers are the factors of 62. Now, let us start dividing 62 by 1 and continue with the 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)

If any numbers other than 1, 2, 31 and 62 divides 62, it leaves a remainder. Hence, the factors of 62 are 1, 2, 31 and 62.

Prime Factorization of 62

We know that the number 62 is a composite number, and hence it can be written as the product of its prime factors. The prime factorization of 62 is given as follows:

Take a pair factor of 62, say (1, 62). Now, find the two numbers which on multiplication results in the original number 62.

Thus, 62 can be written as the product of 2 and 31. Here, both numbers 2 and 31 are prime numbers, which cannot be split further.

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

Solved Examples

Example 1:

Find the common factors of 62 and 31.

Solution:

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

The factors of 31 are 1 and 31.

Therefore, the common factors of 62 and 31 are 1 and 31.

Example 2:

Find the common factors of 62 and 61.

Solution:

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

Factors of 61 = 1 and 61.

Thus, the common factor of 62 and 61 is 1.

Example 3:

Find the common factors of 62 and 63.

Solution:

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

The factors of 63 are 1, 3, 7, 9, 21 and 63.

Hence, the common factor of 62 and 63 is 1.


Frequently Asked Questions on Factors of 62

What are the factors of 62?

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

What is the prime factorization of 62?

The prime factorization of 62 is 2 × 31.

What are the positive pair factors of 62?

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

What are the negative pair factors of 62?

The negative pair factors of 62 are (-1, -62) and (-2, -31).

Is 2 a factor of 62?

Yes, 2 is a factor of 62. If 62 is divisible by 2, it leaves a quotient of 31 and remainder 0, and hence, 2 is a factor of 62.

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