Factors of 57

The factors of 57 will be 1, 3, 19, 57. These are the only numbers which divide 57 evenly without leaving any remainder. And, it always will be in a whole number. These are the only numbers that divide 57 exactly.

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

Prime Factors of 57: 3, 19

Prime Factorization of 57: It is expressed as 3×19

The sum of Factor of 57 : The sum of factors of 57 is 1 + 3 + 19 + 57 =80
 

To find the factors of 57, students need to divide the original number evenly without leaving a remainder. Some methods are explained below for easy solution of factors-

• Multiplication Method

• Division Method

• Prime Factor and Prime Factorization

• Factor Tree

Students need to find pairs of numbers that multiply together to give the original number.

Step 1: Check numbers from 2 up to the square root of the number.

Step 2: To each number, find its pair.

1×57 =57

3×19 =57

19×3 =57

57×1 =57

The above are the factors of 57 are 1, 3, 19, 57.

This method is a process of systematically multiplying different numbers to get the original number.
 

If children need to get the division in whole numbers, then both the divisor and the quotient are factors.

Check numbers from 2 up to the square root of 57, where the square root is 7.5. So, you need to check until 7.

57 / 1 =57, both 1 and 57 are factors.

57 / 3 =19, both 3 and 19 are factors.

57 / 4, 5, 6, 7 won’t result in whole numbers.

Then, the factors of 57 will be 1, 3, 19, 57.
 

Prime factors are the numbers that divide a given number evenly without a remainder. And, prime factorization is the process of breaking down a number into its prime factors.

Prime Factors of 57 = 3 and 19

Prime Factorization of 51 = 3×19

A factor tree is a visual representation of the prime factorization of a number.

= 3 and 19 are the prime building blocks of 57.

Factors Pairs : A factor pair is a combination of two numbers that multiply together to result in a specific value.

Factor a pair of numbers 57 = 1 and 57 = 1×57 =57

                                              = 3 and 19 = 3×19 =57

The above numbers are the factor pairs for 57, as 57 only holds a few divisors.

Positive Pair Factors = 1 and 57, 3 and 19

Negative Pair Factors = -1 and -57, -3 and -19

• Factor: This is a number that divides another number evenly without leaving any remainder.

• Divisor: It is said to be a number that divides another number evenly without leaving a remainder.

• Composite Number:A number which is greater than one, it has at least one positive integer other than one and the number itself.

• Multiple: This is a product of the original number and some other integer.

• Prime Factorization: A method of splitting down a number to its prime factors, which are the smallest numbers that multiple to result in a given number.