1. Steps to find factors of 568 using Division Method

Example: Find factors of 568

  • Divide 568 by 1: 568 ÷ 1 : Remainder = 0
  • Divide 568 by 2: 568 ÷ 2 : Remainder = 0
  • Divide 568 by 4: 568 ÷ 4 : Remainder = 0
  • Divide 568 by 8: 568 ÷ 8 : Remainder = 0
  • Divide 568 by 71: 568 ÷ 71 : Remainder = 0
  • Divide 568 by 142: 568 ÷ 142 : Remainder = 0
  • Divide 568 by 284: 568 ÷ 284 : Remainder = 0
  • Divide 568 by 568: 568 ÷ 568 : Remainder = 0

Hence, Factors of 568 are 1, 2, 4, 8, 71, 142, 284, and 568

2. Steps to find factors of 568 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 568 using the division method, follow these steps:

  • Step 1. Start dividing 568 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 568, which is 2. Divide 568 by 2 to obtain the quotient (284).
    568 ÷ 2 = 284
  • Step 3. Repeat step 1 with the obtained quotient (284).
    284 ÷ 2 = 142
    142 ÷ 2 = 71
    71 ÷ 71 = 1

So, the prime factorization of 568 is, 568 = 2 x 2 x 2 x 71.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 568 as shown below:

So, the prime factorization of 568 is, 568 = 2 x 2 x 2 x 71.

3. Find factors of 568 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 568 would be the two numbers which, when multiplied, give 568 as the result.

The following table represents the calculation of factors of 568 in pairs:

Factor Pair Pair Factorization
1 and 568 1 x 568 = 568
2 and 284 2 x 284 = 568
4 and 142 4 x 142 = 568
8 and 71 8 x 71 = 568

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 568. They are called negative pair factors.

Hence, the negative pairs of 568 would be ( -1 , -568 ) , ( -2 , -284 ) , ( -4 , -142 ) and ( -8 , -71 ) .

What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

Properties of factors

  • Each number is a factor of itself. Eg. 568 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 568.
  • Every number is a factor of zero (0), since 568 x 0 = 0.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Every factor of a number is an exact divisor of that number, example 1, 2, 4, 8, 71, 142, 284, 568 are exact divisors of 568.
  • Factors of 568 are 1, 2, 4, 8, 71, 142, 284, 568. Each factor divides 568 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 8, 71, 142, 284, 568 are all less than or equal to 568.

Frequently Asked Questions

  • What are the prime factors of 568?

    The factors of 568 are 1, 2, 4, 8, 71, 142, 284, 568.
    Prime factors of 568 are 2, 2, 2, 71.

  • What is the sum of all factors of 568?

    The sum of all factors of 568 is 1080.

  • What are the pair factors of 568?

    Pair factors of 568 are (1,568), (2,284), (4,142), (8,71).

  • What two numbers make 568?

    Two numbers that make 568 are 2 and 284.

  • What are multiples of 568?

    First five multiples of 568 are 1136, 1704, 2272, 2840.

  • Is 568 a perfect square?

    No 568 is not a perfect square.

  • Which is greatest factor of 568?

    The greatest factor of 568 is 284.

  • How do you factors of 568?

    Factors of 568 are 1, 2, 4, 8, 71, 142, 284, 568.

  • What are five multiples of 568?

    First five multiples of 568 are 1136, 1704, 2272, 2840, 3408.

Examples of Factors

Can you help Rubel to find out the product of the even factors of 568?

Factors of 568 are 1, 2, 4, 8, 71, 142, 284, 568.
Even factors of 568 are 2, 4, 8, 142, 284, 568.
Hence, product of even factors of 568 is; 2 x 4 x 8 x 142 x 284 x 568 = 1466003456.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 568? Help her in writing all the factors.

Positive factors are 1, 2, 4, 8, 71, 142, 284, 568.
Negative factors are -1, -2, -4, -8, -71, -142, -284, -568.

How many factors are there for 568?

Factors of 568 are 1, 2, 4, 8, 71, 142, 284, 568.
So there are in total 8 factors.

Sammy is puzzled while calculating the prime factors of 568. Can you help him find them?

Factors of 568 are 1, 2, 4, 8, 71, 142, 284, 568.
Prime factors of 568 are 2, 2, 2, 71

Joey wants to write all the prime factors of 568 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 568 are 2, 2, 2, 71.
So in exponential form it can be written as 23 x 71.

What is prime factorization of 568?

Prime factorization of 568 is 2 x 2 x 2 x 71 = 23 x 71.

Can you help Rubel to find out the product of the even factors of 568?

Factors of 568 are 1, 2, 4, 8, 71, 142, 284, 568.
Even factors of 568 are 2, 4, 8, 142, 284, 568.
Hence, product of even factors of 568 is; 2 x 4 x 8 x 142 x 284 x 568 = 1466003456.