# Factors of 1052

Factors of 1052 are 1, 2, 4, 263, 526, and 1052

#### How to find factors of a number

 1.   Find factors of 1052 using Division Method 2.   Find factors of 1052 using Prime Factorization 3.   Find factors of 1052 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1052

• Divide 1052 by 1: 1052 ÷ 1 : Remainder = 0
• Divide 1052 by 2: 1052 ÷ 2 : Remainder = 0
• Divide 1052 by 4: 1052 ÷ 4 : Remainder = 0
• Divide 1052 by 263: 1052 ÷ 263 : Remainder = 0
• Divide 1052 by 526: 1052 ÷ 526 : Remainder = 0
• Divide 1052 by 1052: 1052 ÷ 1052 : Remainder = 0

Hence, Factors of 1052 are 1, 2, 4, 263, 526, and 1052

#### 2. Steps to find factors of 1052 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 1052 using the division method, follow these steps:

• Step 1. Start dividing 1052 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 1052, which is 2. Divide 1052 by 2 to obtain the quotient (526).
1052 ÷ 2 = 526
• Step 3. Repeat step 1 with the obtained quotient (526).
526 ÷ 2 = 263
263 ÷ 263 = 1

So, the prime factorization of 1052 is, 1052 = 2 x 2 x 263.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1052 as shown below:

So, the prime factorization of 1052 is, 1052 = 2 x 2 x 263.

#### 3. Find factors of 1052 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 1052 would be the two numbers which, when multiplied, give 1052 as the result.

The following table represents the calculation of factors of 1052 in pairs:

Factor Pair Pair Factorization
1 and 1052 1 x 1052 = 1052
2 and 526 2 x 526 = 1052
4 and 263 4 x 263 = 1052

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 1052. They are called negative pair factors.

Hence, the negative pairs of 1052 would be ( -1 , -1052 ) , ( -2 , -526 ) and ( -4 , -263 ) .

#### 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. 1052 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 1052.
• Every number is a factor of zero (0), since 1052 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, 263, 526, 1052 are exact divisors of 1052.
• Factors of 1052 are 1, 2, 4, 263, 526, 1052. Each factor divides 1052 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 263, 526, 1052 are all less than or equal to 1052.

• What is prime factorization of 1052?

Prime factorization of 1052 is 2 x 2 x 263.

• How do you find factors of a negative number? ( eg. -1052 )?

Factors of -1052 are -1, -2, -4, -263, -526, -1052.

• What are the prime factors of 1052?

The factors of 1052 are 1, 2, 4, 263, 526, 1052.
Prime factors of 1052 are 2, 2, 263.

• What are pair factors of 1052?

The pair factors of 1052 are (1,1052), (2,526), (4,263).

• What is the greatest prime factors of 1052?

The greatest prime factor of 1052 is 263.

• What are six multiples of 1052?

First five multiples of 1052 are 2104, 3156, 4208, 5260, 6312, 7364.

• What are factors of 1052?

Factors of 1052 are 1, 2, 4, 263, 526, 1052.

• Which is the smallest prime factor of 1052?

Smallest prime factor of 1052 is 2.

• Is 1052 a whole number?

Yes 1052 is a whole number.

#### Examples of Factors

Kevin has been asked to write 5 factor(s) of 1052. Can you predict the answer?

5 factor(s) of 1052 are 1, 2, 4, 263, 526.

Sammy is puzzled while calculating the prime factors of 1052. Can you help him find them?

Factors of 1052 are 1, 2, 4, 263, 526, 1052.
Prime factors of 1052 are 2, 2, 263

What is prime factorization of 1052?

Prime factorization of 1052 is 2 x 2 x 263 = 22 x 263.

Ariel has been assigned the task to find the product of all the prime factors of 1052. Can you help her?

Prime factors of 1052 are 2, 2, 263.
Hence, the product of prime factors of 526.

Can you help Rubel to find out the product of the even factors of 1052?

Factors of 1052 are 1, 2, 4, 263, 526, 1052.
Even factors of 1052 are 2, 4, 526, 1052.
Hence, product of even factors of 1052 is; 2 x 4 x 526 x 1052 = 4426816.

Joy wants to calculate mean of all the factors of 1052. Help him in finding the mean of 1052.

Factors of 1052 are 1, 2, 4, 263, 526, 1052.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 1052 is 1 + 2 + 4 + 263 + 526 + 1052 = 1848.
Hence, the mean of factors of 1052 is 1848 ÷ 6 = 308.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1052? Help her in writing all the factors.

Positive factors are 1, 2, 4, 263, 526, 1052.
Negative factors are -1, -2, -4, -263, -526, -1052.