Factors of 57 | Pair Factors & Prime Factors

Factors of 57

A factor of 57 is a real number that divides the original number into equal parts or uniformly. As an example, 2 divides 6 into three parts, making it a factor of 6. 57 has more than two factors since it is a composite number. Using the division method, you can easily find the factors.

In addition to the factors of 57, we intend to evaluate the prime factors that could divide the original number evenly and pair factors, which are the sum of two numbers.

How to Find Factors of 57?

In other words, the factors of 57 are real numbers that divide the original number evenly. In addition to being a factor of all numbers, 1 is also a factor of 57. The remaining factors could be calculated using the division method, keeping in mind the zero remainder.

57 ÷ 1 = 57

57 ÷ 3 = 19

57 ÷ 19 = 3

57 ÷ 57 = 1

Therefore, the factors of 57 are 1, 3, 19, and 57.

Because all the above divisions do not generate fractions, There but whole numbers, and the remainder is 0.

Pair Factors of 57

A pair factor is also a number that results in the original number (in this case, 57) when multiplied together. (1, 57) is a pair factor since it is the product of 1 and 57. Consequently,

1 × 57 = 57

3 × 19 = 57

It is impossible to calculate another pair factor that could lead to 57. So we get (1, 57) and (3, 19).

In the case of the negative pair factors, the product of two negative factors will equal 57.

-1 × -57 = 57

-3 × -19 = 57

Consequently, (-1, -57) and (-3, -19) are the negative pair factors.

Prime Factorization of 57

Prime numbers that can completely divide the number 57  are the prime factors of 57. For figuring out the prime factors, the following table gives the prime numbers between 1 and 57.

List of prime numbers (1 to 57) :

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53

As you can see above, 57 is entirely divisible by 3. Consequently, 3 is the smallest prime factor for 57.

57/3 = 19

In that case, 19 is divisible either by 1 or by itself.

19/19 = 1

The number 1 itself is a factor, so we cannot divide it further.

Thus,

Prime factorization of 57 = 3 x 19

Solved Examples

1. For Rs.57, three balls are bought. How much does each ball cost?

Balls purchased = 3

3 balls cost 57 rupees

Balls cost 57/3 = 19

As a result, each ball cost Rs. 19.

2. Determine the sum of all factors of 57.

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

Sum = 1 + 3 + 19 + 57 = 80

The required amount is 80.

3. How do 24 and 3 have a common factor?

We will now write the factors of these two numbers.

1, 2, 3, 4, 6, 8, 12, and 24 are the factors of 24

Factors of 3 are 1 and 3.

Consequently, 24 and 3 have a common factor of 1 and 3.

4. How many GCFs are there in 57, 27, and 81?

All the given numbers have factors, so let’s list them.

Factors of 27 = 1, 3, 9, 27

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

81 → 1, 3, 9, 27, 81

As a result, the two most common factors are 1 and 3 between 27, 57, and 81.

FAQ’s