# Factors of 1033

Factors of 1033 are 1 and 1033

#### How to find factors of a number

 1.   Find factors of 1033 using Division Method 2.   Find factors of 1033 using Prime Factorization 3.   Find factors of 1033 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1033

• Divide 1033 by 1: 1033 ÷ 1 : Remainder = 0
• Divide 1033 by 1033: 1033 ÷ 1033 : Remainder = 0

Hence, Factors of 1033 are 1 and 1033

#### 2. Steps to find factors of 1033 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 1033 using the division method, follow these steps:

• Step 1. Start dividing 1033 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 1033, which is 1033. Divide 1033 by 1033 to obtain the quotient (1).
1033 ÷ 1033 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 1033 is, 1033 = 1033.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1033 as shown below:

So, the prime factorization of 1033 is, 1033 = 1033.

#### 3. Find factors of 1033 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 1033 would be the two numbers which, when multiplied, give 1033 as the result.

The following table represents the calculation of factors of 1033 in pairs:

Factor Pair Pair Factorization
1 and 1033 1 x 1033 = 1033

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 1033. They are called negative pair factors.

Hence, the negative pairs of 1033 would be ( -1 , -1033 ) , .

#### 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

• Every factor of a number is an exact divisor of that number, example 1, 1033 are exact divisors of 1033.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 1033 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 1033.

• Which is the smallest prime factor of 1033?

The smallest prime factor of 1033 is 1033.

• Is 1033 a whole number?

Yes 1033 is a whole number.

• What are the prime factors of 1033?

The factors of 1033 are 1, 1033.
Prime factors of 1033 are 1033.

• What two numbers make 1033?

Two numbers that make 1033 are 1033 and 1.

• What are multiples of 1033?

First five multiples of 1033 are 2066, 3099, 4132, 5165.

• What is the sum of all factors of 1033?

The sum of all factors of 1033 is 1034.

• What are five multiples of 1033?

First five multiples of 1033 are 2066, 3099, 4132, 5165, 6198.

• Is 1033 a perfect square?

No 1033 is not a perfect square.

• What is the greatest prime factors of 1033?

The greatest prime factor of 1033 is 1033.

#### Examples of Factors

How many factors are there for 1033?

Factors of 1033 are 1, 1033.
So there are in total 2 factors.

Kevin has been asked to write 1 factor(s) of 1033. Can you predict the answer?

1 factor(s) of 1033 is 1.

Sammy is puzzled while calculating the prime factors of 1033. Can you help him find them?

Factors of 1033 are 1, 1033.
Prime factors of 1033 are 1033

What is prime factorization of 1033?

Prime factorization of 1033 is 1033 = 1033.

Ariel has been assigned the task to find the product of all the prime factors of 1033. Can you help her?

Prime factors of 1033 are 1033.
Hence, the product of prime factors of 1033.

Can you help Rubel to find out the product of the even factors of 1033?

Factors of 1033 are 1, 1033.
Even factors of 1033 are 0.
Hence, product of even factors of 1033 is; 0 = 0.

Joy wants to calculate mean of all the factors of 1033. Help him in finding the mean of 1033.

Factors of 1033 are 1, 1033.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 1033 is 1 + 1033 = 1034.
Hence, the mean of factors of 1033 is 1034 ÷ 2 = 517.00.