# Factors of 521

Factors of 521 are 1 and 521

#### How to find factors of a number

 1.   Find factors of 521 using Division Method 2.   Find factors of 521 using Prime Factorization 3.   Find factors of 521 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 521

• Divide 521 by 1: 521 ÷ 1 : Remainder = 0
• Divide 521 by 521: 521 ÷ 521 : Remainder = 0

Hence, Factors of 521 are 1 and 521

#### 2. Steps to find factors of 521 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 521 using the division method, follow these steps:

• Step 1. Start dividing 521 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 521, which is 521. Divide 521 by 521 to obtain the quotient (1).
521 ÷ 521 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 521 is, 521 = 521.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 521 as shown below:

So, the prime factorization of 521 is, 521 = 521.

#### 3. Find factors of 521 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 521 would be the two numbers which, when multiplied, give 521 as the result.

The following table represents the calculation of factors of 521 in pairs:

Factor Pair Pair Factorization
1 and 521 1 x 521 = 521

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 521. They are called negative pair factors.

Hence, the negative pairs of 521 would be ( -1 , -521 ) , .

#### How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

#### Properties of factors

• Every factor of a number is an exact divisor of that number, example 1, 521 are exact divisors of 521.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 521 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 521.

• What is prime factorization of 521?

Prime factorization of 521 is 521.

• How do you find factors of a negative number? ( eg. -521 )?

Factors of -521 are -1, -521.

• What are the prime factors of 521?

The factors of 521 are 1, 521.
Prime factors of 521 are 521.

• What are pair factors of 521?

The pair factors of 521 are (1,521).

• What is the greatest prime factors of 521?

The greatest prime factor of 521 is 521.

• What are six multiples of 521?

First five multiples of 521 are 1042, 1563, 2084, 2605, 3126, 3647.

• What are factors of 521?

Factors of 521 are 1, 521.

• Which is the smallest prime factor of 521?

Smallest prime factor of 521 is 521.

• Is 521 a whole number?

Yes 521 is a whole number.

#### Examples of Factors

Kevin has been asked to write 1 factor(s) of 521. Can you predict the answer?

1 factor(s) of 521 is 1.

Sammy is puzzled while calculating the prime factors of 521. Can you help him find them?

Factors of 521 are 1, 521.
Prime factors of 521 are 521

What is prime factorization of 521?

Prime factorization of 521 is 521 = 521.

Ariel has been assigned the task to find the product of all the prime factors of 521. Can you help her?

Prime factors of 521 are 521.
Hence, the product of prime factors of 521.

Can you help Rubel to find out the product of the even factors of 521?

Factors of 521 are 1, 521.
Even factors of 521 are 0.
Hence, product of even factors of 521 is; 0 = 0.

Joy wants to calculate mean of all the factors of 521. Help him in finding the mean of 521.

Factors of 521 are 1, 521.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 521 is 1 + 521 = 522.
Hence, the mean of factors of 521 is 522 ÷ 2 = 261.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 521? Help her in writing all the factors.

Positive factors are 1, 521.
Negative factors are -1, -521.