Factors of 57 | Pair Factors & Prime Factors

ECTI Pakistan - factors of 57

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, we can easily find these 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.

ECTI Pakistan - factors of 57

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.

ECTI Pakistan - what are the factors of 57

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.

ECTI Pakistan - Factors of 57 in pairs

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 47 and 57 have a common factor?

We will now write the factors of these two numbers.

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

Factors of 47 = 1, 47

Consequently, 47 and 57 have a common factor of 1.

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

What are the factors of 57?

In total, there are four factors of 57. 1, 3, 19, and 57 comprise the four factors.

What are the prime factors in 57?

Prime factorization of 57:  3 x 19

How many multiples of 57 are there?

There are 10 multiples of 57: 57, 114, 171, 228, 285, 342, 399, 456, 513 and 570.

Can 57 be divided by 7?

The number 57 cannot be divided by 7 since the remainder after division is not equal to zero.

Does 57 represent a prime or a composite number?

Since 57 has more than two factors, it is a composite number.

57 is a perfect square; is it true?

The number 57 is not a perfect square. 57 has no whole number square root.
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