Factors

# Factors of 57 | Prime Factorization of 57 | Factor Tree of 57

Written by Prerit Jain

Updated on: 12 Aug 2023

### Factors of 57 | Prime Factorization of 57 | Factor Tree of 57

Factors of 57: The factors of a number are those integers that divide the number evenly and leave no reminder behind.

The number 57 has a total of 4 factors – 1, 3, 19, 57

The factors of 57 are both positive and negative. They can also be presented in pairs. These paired factors, when multiplied by each other, give 57 as the product.

In this article, we will find out the factors of 57 using the division method, prime factorization, and factor tree method. To learn more, keep reading. Continue reading to learn more.

## What Are the Factors of 57?

The factors of 57 are the numbers that divide it evenly, leaving no remainders. They can be both positive and negative integers.

## What Are the Factors of 57 in Pairs?

A pair factor of 57 is a set of two numbers that yield 57 as the product when multiplied by each other. They can also be presented as positive/ negative pairs.

### Positive Pair Factors of 57

Positive pair factors of 57: (1, 57) and (3, 19).

### Negative Pair Factors of 57

Negative pair factors of 57: (1, 57) and (3, 19).

## How To Find Factors of 57 Through Division Method?

The division method is one of the easy means of finding the factors of a number. As per this method, we will divide 57 with a sequence of integers. The numbers that divide 57 completely are known as their factors.

The steps below illustrate finding factors of 57 using the division method:

57 ÷ 1 = 57
57 ÷ 3 = 19
57 ÷ 19 = 3
57 ÷ 57 = 1

1, 3, 19, and 57 are the numbers that do not leave any remainder when divided by 57. So, the factors of 57 are 1, 3, 19, and 57.

## What Is the Prime Factorization of 57?

Before using the prime factorization method, we must check if the given number is a prime number. If so, then it has only two factors: 1 and 57. If not, it has more than two factors.

57 is the composite number, with 4 factors in total. So, we can use prime factorization to find the factors of 57.

The steps to find prime factors of 57 using the prime factorization method are given below:

Step 1: Divide the number 57 by the smallest prime number that can divide it. The smallest prime number that can divide 57 is 3.
57 ÷ 3 = 19

Step 2: Now we should divide 19 by the next prime number. Since 19 itself is a prime number, it can be divided only by 19.9 ÷ 19 = 1

Since 1 (the quotient) cannot be divided further, the prime factors of 57 are 19 X 3.

Image representation of the prime factorization of 57:

## What is the Factor Tree of 57?

We can also employ the factor tree method to find the factors of 57. According to this method, we will first place 57 on top of the factor tree. As part of its branches, we will write down one of the pair factors of 57. These factors will further be divided until all branches of the factor tree are prime numbers.

Step 1: We will place 57 at the top of the factor tree. We will branch it out to a pair of its factors, that is, 3 and 19

Step 2: 3 and 19 both happen to be prime numbers. The branches in the factor tree will now be all the prime numbers.

Hence, circling all the branches, 19 X 3= 57, which are 57 prime factors.

Below is an image representation of the factor tree of 57.

## Solved Examples of Factors of 57

Here are some solved examples of 57 factors:

What is the sum of all the factors of 57?
1, 3, 19, and 57 are the 57 factors.
1 + 3 + 19 + 57 = 80
Hence, 80 is the sum of all 57 factors.

What are the factors and prime factors of 57?
The factors of 57 are 1, 3, 19, and 57.
The prime factors of 57 are 19 X 3.

What’s the highest common factor between 513 and 57?
The factors of 513 are 1, 3, 9, 19, 27, 57 171 and 513.
Factors of 57 are 1, 3, 19, and 57.
Hence, from the above, the common factors of 513 and 57 are 1, 3, 19 and 57.
The highest common factor between 513 and 57 is 57.

What’s the highest common factor between 57 and 42?
The factors of 57 are 1, 3, 19, and 57.
Factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42.
Hence, from the above, the common factors of 57 and 42 are 1 and 3.
The highest common factor between 57 and 42 is 3.

Is 19 a factor of 57?
Yes, 19 is a factor of 57.
As 57 ÷ 19 = 3.

What are the factors of -57?
The factors of -57 are -1, -3, -19, and -57.

What are the common factors of 76 and 57?
To find the common factors of 76 and 57, we need to find the factors of both numbers.
Factors of 76: 1, 2, 4, 19, 38, and 76
Factors of 57: 1, 3, 19, and 57
Hence the common factors of 76 and 57 are 1 and 19.

What are all the factors of 57?
The factors of 57 are 1, 3, 19, and 57.

What are the factors of 57 that are composite?
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 57 is 57.

How many 57 factors are odd?
A total of 4 odd numbers are there in factors of 57 and they are 1, 3, 19, and 57.

What are the factors of 57 and 38?
The factors of 57 are 1, 3, 19, and 57.
The factors of 38 are 1, 2, 19, and 38.

What are the common factors of 57 and 95?
To list out the common factors of 57 and 95, we need to find the factors of both numbers.
Factors of 57: 1, 3, 19, and 57
Factors of 95: 1, 5, 19 and 95
From the above, the common factors of 57 and 95 are 1 and 19.

How many different factors are there for the number 57?
A total of 4 factors are there for the number 57 and they are 1, 3, 19, and 57.

How many pair factors are there in 57?
A total of 2 pairs are there in factors of 57.

What is the largest factor of 57?
The largest factor of 57 is 57.
The second largest factor of 57 is 19.

## FAQs on Factors of 57

List all the factors of 57
1, 3, 19, and 57 are the 57 factors.

What are the composite factors of 57?
57 is the 57 composite factor. Composite factors are those that have more than 2 factors other than 1 and itself.

What are the factors of 57 in pairs?
(1, 57), and (3, 19) are the 57 factors of pairs.

What are the positive factors for 57?
1, 3, 19, and 57 are the positive factors for 57.

What are the negative factors of 57?
-1, -3, -19, and -57 are the negative factors of 57.

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Written by by

Prerit Jain

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