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Factors

Factors of 62 | Prime Factorization of 62 | Factor Tree of 62

Written by Prerit Jain

Updated on: 18 Aug 2023

Contents

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Factors of 62 | Prime Factorization of 62 | Factor Tree of 62

Factors of 62 | Prime Factorization of 62 | Factor Tree of 62

Factors of 62: Factors of a number are defined as a set of integers that can divide the given number evenly.

The number 62 has 4 factors. Factors of 61 are 1, 2, 31, and 62.

The factors of 62 are both positive and negative. They can also occur in pairs. This means that multiplying the numbers within the pairs gives the original number (62) as the product.

In this article, we will discuss the factors of 62 and how to find them using the division method, prime factorization, and factor tree method. Keep reading to know more.

What Are the Factors of 62?

The factors of 62 are those numbers that divide it evenly, leaving no reminder behind. These factors can be positive or negative.

Factors of 62: 1, 2, 31, and 62
Negative Factors of 62: –1, -2, -31, and -62
Prime Factorization of 62:  2 X 31
Pair Factors of 62: (1, 62) and (2, 31)
Prime Factors of 62: 2, 31
Sum of Factors of 62: 96
Sum of Prime Factors of 62: 33

 

What Are the Factors of 62 in Pairs?

Pair factors of 62 are a combination of two numbers, which when multiplied by each other give 62 as the product.

Positive Pair Factors of 62

Positive pair factors of 62: (1, 62), and (2, 31).

Positive Pair Factors of 62

 

Negative Pair Factors of 62

Negative pair factors of 62: (-1, -62), and (-2, -31).

negative pair factor of 62

How To Find Factors of 62 Through Division Method?

We will first use the division method to find the factors of 62. As per this approach, we will first divide a sequence of numbers by 62. The numbers that can divide 62 evenly are considered factors of 62. The steps below illustrate how to find the factors of 62 using the division method:

62 ÷ 1 = 62

62 ÷ 2 = 31

62 ÷ 31 = 2

62 ÷ 62 = 1

We can see that 1, 2, 31, and 62 are the numbers that do not leave any remainder when divided by 62. Thus, they are the factors of 62.

What Is the Prime Factorization of 62?

Before using prime factorization we must check if the given number is a prime number. If it is a prime number, then it has only two factors: 1 and 62. If not, it has more than two factors.


We know that 62 is the composite number. So, it has more than two factors.
The steps to find prime factors of 62 using the prime factorization method are given below:

Step 1: Divide the number 62 by the smallest prime number that can divide it. That number is 2.
62 ÷ 2 = 31

Step 2: Now we got 31 as the quotient. Dividing 31 with 31 gives us 1.
31 ÷ 31 = 1

The quotient is 1. Since 1 cannot be divided further, the prime factors of 62 are 31 X 2.


Image representation of the prime factorization of 62:

Prime Factorization of 62

What is the Factor Tree of 62?

We can also use the factor tree method to find the factors of 62. We will first place 62 on top of the factor tree. We will then branch it out with its pair factors. We will separate these factors further till all the numbers of the branches are prime numbers.

Step 1: Let’s place 62 on top of the factor tree. Write down one of its pair factors as part of its branches, that is, 2 and 31.

Step 2: Both 2 and 31 happen to be prime numbers. All the branches in the factor tree are now prime numbers.

Hence, circling all the branches, 2 X 29 = 31, which are 62 prime factors.
We can write the factor tree of 62 in many ways. Below is an image representation of the factor tree of 62, choosing 2 and 31 as pair factors of 62.

Factor tree of 62
Factor tree of 62

Solved Examples of Factors of 62

Here are some solved examples of 62 factors:

Q 1: What is the sum of all the factors of 62?
A 1:
1, 2, 31, and 62 are the 62 factors.
1 + 2 + 31 + 62 = 96
Hence, 96 is the sum of all 62 factors.

Q 2: What are the factors and prime factors of 62?
A 2:
The 62 factors: 1, 2, 31, and 62.
The 62 prime factors: 31 X 2.

Q 3: What’s the highest common factor between 62 and 70?
A 3:
The factors of 62 are 1, 2, 31, and 62.
Factors of 70 are 1, 2, 5, 7, 10, 14, 35, and 70.
Hence, from the above, the common factors of 62 and 70 are 1 and 2.
The highest common factor between 62 and 70 is 2.

Q 4: What’s the greatest common factor between 62 and 56?
A 4:
The factors of 62 are 1, 2, 31, and 62.
Factors of 56 are 1, 2, 4, 7, 8, 14, 28, and 56.
Hence, from the above, the common factors of 62 and 56 are 1 and 2.
The highest common factor between 62 and 56 is 2.

Q 5: Is 31 a factor of 62?
A 5:
Yes, 31 is a factor of 62.
As 62 ÷ 2 = 31.

Q 6: What are the factors of -62?
A 6:
The factors of -62 are -1, -2, -31, and -62.

Q 7: What are the common factors of 62 and 90?
A 7:
To find the common factors of 62 and 90, we need to find the factors of both numbers.
Factors of 62: 1, 2, 31, and 62
Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90
Hence the common factors of 62 and 90 are 1 and 2.

Q 8: What are all the factors of 62?
A 8:
The factors of 62 are 1, 2, 31, and 62.

Q 9: What are the factors of 62 that are composite?
A 9:
Any number which has more than 2 factors is known as a composite number. The number which has more than 2 factors in factors of 62 is 62.

Q 10: How many 62 factors are odd?
A 10:
A total of 2 odd numbers are there in factors of 62 and they are 1 and 31.

Q 11: How many different factors are there for the number 62?
A 11:
A total of 4 factors are there for the number 62 and are 1, 2, 31, and 62.

Q 12: How many pair factors are there in 62?
A 12:
A total of 2 pairs are there in factors of 62.

Q 13: What is the largest factor of 62?
A 13:
The largest factor of 62 is 62.
The second largest factor of 62 is 31.

FAQs on Factors of 62

List all the factors of 62
1, 2, 31, and 62 are the 62 factors.

What are the composite factors of 62?
62 is the 62 composite factor. Composite factors are those that have more than 2 factors other than 1 and itself.

What are the factors of 62 in pairs?
(1, 62), and (2, 31) are the 62 factors of pairs.

What are the positive factors for 62?
1, 2, 31, and 62 are the positive factors for 62.

List the first 10 multiples of 62
62, 124, 186, 248, 310, 372, 434, 496, 558, and 620 are the first 10 multiples of 62.
Multiples of a number are set of numbers that can be divided by the given number (62) evenly.

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Prerit Jain

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