# Factors of 572

Factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, and 572

#### How to find factors of a number

 1.   Find factors of 572 using Division Method 2.   Find factors of 572 using Prime Factorization 3.   Find factors of 572 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 572

• Divide 572 by 1: 572 ÷ 1 : Remainder = 0
• Divide 572 by 2: 572 ÷ 2 : Remainder = 0
• Divide 572 by 4: 572 ÷ 4 : Remainder = 0
• Divide 572 by 11: 572 ÷ 11 : Remainder = 0
• Divide 572 by 13: 572 ÷ 13 : Remainder = 0
• Divide 572 by 22: 572 ÷ 22 : Remainder = 0
• Divide 572 by 26: 572 ÷ 26 : Remainder = 0
• Divide 572 by 44: 572 ÷ 44 : Remainder = 0
• Divide 572 by 52: 572 ÷ 52 : Remainder = 0
• Divide 572 by 143: 572 ÷ 143 : Remainder = 0
• Divide 572 by 286: 572 ÷ 286 : Remainder = 0
• Divide 572 by 572: 572 ÷ 572 : Remainder = 0

Hence, Factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, and 572

#### 2. Steps to find factors of 572 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 572 using the division method, follow these steps:

• Step 1. Start dividing 572 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 572, which is 2. Divide 572 by 2 to obtain the quotient (286).
572 ÷ 2 = 286
• Step 3. Repeat step 1 with the obtained quotient (286).
286 ÷ 2 = 143
143 ÷ 11 = 13
13 ÷ 13 = 1

So, the prime factorization of 572 is, 572 = 2 x 2 x 11 x 13.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 572 as shown below:

So, the prime factorization of 572 is, 572 = 2 x 2 x 11 x 13.

#### 3. Find factors of 572 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 572 would be the two numbers which, when multiplied, give 572 as the result.

The following table represents the calculation of factors of 572 in pairs:

Factor Pair Pair Factorization
1 and 572 1 x 572 = 572
2 and 286 2 x 286 = 572
4 and 143 4 x 143 = 572
11 and 52 11 x 52 = 572
13 and 44 13 x 44 = 572
22 and 26 22 x 26 = 572

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 572. They are called negative pair factors.

Hence, the negative pairs of 572 would be ( -1 , -572 ) , ( -2 , -286 ) , ( -4 , -143 ) , ( -11 , -52 ) , ( -13 , -44 ) and ( -22 , -26 ) .

#### 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

• Each number is a factor of itself. Eg. 572 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 572.
• Every number is a factor of zero (0), since 572 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, 11, 13, 22, 26, 44, 52, 143, 286, 572 are exact divisors of 572.
• Factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572. Each factor divides 572 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572 are all less than or equal to 572.

• What are the pair factors of 572?

Pair factors of 572 are (1,572), (2,286), (4,143), (11,52), (13,44), (22,26).

• What are five multiples of 572?

First five multiples of 572 are 1144, 1716, 2288, 2860, 3432.

• What two numbers make 572?

Two numbers that make 572 are 2 and 286.

• What is the sum of all factors of 572?

The sum of all factors of 572 is 1176.

• What are factors of -572?

Factors of -572 are -1, -2, -4, -11, -13, -22, -26, -44, -52, -143, -286, -572.

• What are factors of 572?

Factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572.

• Is 572 a perfect square?

No 572 is not a perfect square.

• Which is the smallest prime factor of 572?

Smallest prime factor of 572 is 2.

• Which is greatest factor of 572?

The greatest factor of 572 is 286.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 572?

Factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572.
Odd factors of 572 are 1, 11, 13, 143.
Hence product of odd factors of 572 is; 1 x 11 x 13 x 143 = 20449.

Joey wants to write all the prime factors of 572 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 572 are 2, 2, 11, 13.
So in exponential form it can be written as 22 x 11 x 13.

How many factors are there for 572?

Factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572.
So there are in total 12 factors.

Kevin has been asked to write 11 factor(s) of 572. Can you predict the answer?

11 factor(s) of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286.

Sammy is puzzled while calculating the prime factors of 572. Can you help him find them?

Factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572.
Prime factors of 572 are 2, 2, 11, 13

What is prime factorization of 572?

Prime factorization of 572 is 2 x 2 x 11 x 13 = 22 x 11 x 13.

Can you help Rubel to find out the product of the even factors of 572?

Factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572.
Even factors of 572 are 2, 4, 22, 26, 44, 52, 286, 572.
Hence, product of even factors of 572 is; 2 x 4 x 22 x 26 x 44 x 52 x 286 x 572 = 1712789917696.