Factors of 57

2. Steps to find factors of 57 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

Method 1: Division Method

To find the primefactors of 57 using the division method, follow these steps:

• Step 1. Start dividing 57 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 57, which is 3. Divide 57 by 3 to obtain the quotient (19).
  57 ÷ 3 = 19
• Step 3. Repeat step 1 with the obtained quotient (19).
  19 ÷ 19 = 1

So, the prime factorization of 57 is, 57 = 3 x 19.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 57 as shown below:

So, the prime factorization of 57 is, 57 = 3 x 19.

3. Find factors of 57 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 57 would be the two numbers which, when multiplied, give 57 as the result.

The following table represents the calculation of factors of 57 in pairs:

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 57. They are called negative pair factors.

Hence, the negative pairs of 57 would be ( -1 , -57 ) , ( -3 , -19 ) .

How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

Properties of factors

• Every factor of a number is an exact divisor of that number, example 1, 3, 19, 57 are exact divisors of 57.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 57 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 57.

Frequently Asked Questions

• What are the prime factors of 57?

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

• What two numbers make 57?

  Two numbers that make 57 are 3 and 19.

• What is the greatest prime factors of 57?

  The greatest prime factor of 57 is 19.

• What are factors of 57?

  Factors of 57 are 1, 3, 19, 57.

• How do you find factors of a negative number? ( eg. -57 )?

  Factors of -57 are -1, -3, -19, -57.

• What are five multiples of 57?

  First five multiples of 57 are 114, 171, 228, 285, 342.

• Write some multiples of 57?

  First five multiples of 57 are 114, 171, 228, 285.

• Is 57 a perfect square?

  No 57 is not a perfect square.

• What two numbers make 57?

  Two numbers that make 57 are 3 and 19.

Examples of Factors