# Factors of 57

The factors of 57 are the numbers that divide evenly into 57. There are only four factors of 57: 1, 3, 19, and 57 itself. The prime factorization of 57 is 3 x 19, which means that 57 is a composite number. Composite numbers are numbers that have more than two factors. The factors of 57 can be used to find the multiples of 57, which are the numbers that can be created by multiplying 57 by one of its factors.

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Prime Numbers

A prime number is a whole number greater than 1 that can only be divided evenly by 1 and itself. Some examples of prime numbers include 2, 3, 5, 7, and 11. Prime numbers are important in mathematics as they are used in many mathematical formulas and algorithms and are also used in the study of number theory.

Composite Numbers

A composite number is a whole number greater than 1 that can be divided evenly by a number other than 1 or itself. In other words, a composite number is not a prime number. Some examples of composite numbers include 4, 6, 8, 9, and 10.

## What are the factors of 57?

The method of calculating the factor of 57 is as follows. First, each number can be divided by one and by itself.

Consequently, 1 and 57 are the factors of 57.
By dividing a number by 1, 2, 3, 4… we can discover all its factors.

(i) 57 ÷ 1 = 57

This division gives the remainder 0 and so is divisible by 57. So please put them 1 and 57 in your factor list.

1, … 57

(ii) 57 ÷ 2 = 28.5

This division gives the remainder 28.5, not being thoroughly divided. So we will not write 2 and 28.5 on the list.

(iii) 57 ÷ 3 = 19

This division gives the remainder 0 and so is divisible by 19. So please put them 3 and 19 in your factor list.

1, 3 … 19, 57

(iv) 57 ÷ 4 = 14.25

This division gives the remainder 14.25, not being thoroughly divided. So we will not write 4 and 14.25 on the list.

(v) 57 ÷ 5 = 11.4

This division gives the remainder 11.4, not being thoroughly divided. So we will not write 5 and 11.4 on the list.

(vi) Since we don’t have any more numbers to calculate, we are putting the numbers so far.

So 1, 3 and 57 are factors of 57.

### Factor pairs of 57

1 x 57 = 57
3 x 19 = 57

So, (1, 57) and (3, 19) are factor pairs of 57

### Factor pairs of -57

-1 x -57 = 57
-3 x -19 = 57

So, (-1, -57) and (-3, -19) are negative pair factors of 57

### Prime Factorization of 57

57 ÷ 3 = 19
19 ÷ 19 = 1

Therefore, 3 × 19 are Prime factorization of 57.

### Factor tree of 57

``````  57
/   \
3   19``````

## FAQs on Factor of 57

### What are the factors of 57?

The factors of 57 are 1, 3, 19, and 57.

### How many factors does 57 have?

57 has 4 factors.

### What is the prime factorization of 57?

The prime factorization of 57 is 3 * 19.

### What are the multiples of 57?

The multiples of 57 are the numbers that can be created by multiplying 57 by one of its factors. The multiples of 57 are 57, 114, 171, 228, 285, 342, 399, and so on.

### How do you find the factors of 57?

There are a few ways to find the factors of 57. One way is to start with the number 1 and divide 57 by each number until you get a remainder of 0. The other way is to use the prime factorization of 57, which is 3 * 19. The factors of 57 are then the product of any combination of the prime factors 3 and 19.

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