1. Steps to find factors of 57 using Division Method

Example: Find factors of 57

  • Divide 57 by 1: 57 ÷ 1 : Remainder = 0
  • Divide 57 by 3: 57 ÷ 3 : Remainder = 0
  • Divide 57 by 19: 57 ÷ 19 : Remainder = 0
  • Divide 57 by 57: 57 ÷ 57 : Remainder = 0

Hence, Factors of 57 are 1, 3, 19, and 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:

Factor Pair Pair Factorization
1 and 57 1 x 57 = 57
3 and 19 3 x 19 = 57

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

What is prime factorization of 57?

Prime factorization of 57 is 3 x 19 = 3 x 19.

Sammy is puzzled while calculating the prime factors of 57. Can you help him find them?

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

Kevin has been asked to write 3 factor(s) of 57. Can you predict the answer?

3 factor(s) of 57 are 1, 3, 19.

Joey wants to write all the prime factors of 57 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 57 are 3, 19.
So in exponential form it can be written as 3 x 19.

How many factors are there for 57?

Factors of 57 are 1, 3, 19, 57.
So there are in total 4 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 57? Help her in writing all the factors.

Positive factors are 1, 3, 19, 57.
Negative factors are -1, -3, -19, -57.

Can you help Rubel to find out the product of the even factors of 57?

Factors of 57 are 1, 3, 19, 57.
Even factors of 57 are 0.
Hence, product of even factors of 57 is; 0 = 0.