# Factors of 251

Factors of 251 are 1 and 251

#### How to find factors of a number

 1.   Find factors of 251 using Division Method 2.   Find factors of 251 using Prime Factorization 3.   Find factors of 251 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 251

• Divide 251 by 1: 251 ÷ 1 : Remainder = 0
• Divide 251 by 251: 251 ÷ 251 : Remainder = 0

Hence, Factors of 251 are 1 and 251

#### 2. Steps to find factors of 251 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 251 using the division method, follow these steps:

• Step 1. Start dividing 251 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 251, which is 251. Divide 251 by 251 to obtain the quotient (1).
251 ÷ 251 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 251 is, 251 = 251.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 251 as shown below:

So, the prime factorization of 251 is, 251 = 251.

#### 3. Find factors of 251 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 251 would be the two numbers which, when multiplied, give 251 as the result.

The following table represents the calculation of factors of 251 in pairs:

Factor Pair Pair Factorization
1 and 251 1 x 251 = 251

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 251. They are called negative pair factors.

Hence, the negative pairs of 251 would be ( -1 , -251 ) , .

#### 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 number is a factor of zero (0), since 251 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, 251 are exact divisors of 251.
• Factors of 251 are 1, 251. Each factor divides 251 without leaving a remainder.

• What is prime factorization of 251?

Prime factorization of 251 is 251.

• How do you find factors of a negative number? ( eg. -251 )?

Factors of -251 are -1, -251.

• What are the prime factors of 251?

The factors of 251 are 1, 251.
Prime factors of 251 are 251.

• What are pair factors of 251?

The pair factors of 251 are (1,251).

• What is the greatest prime factors of 251?

The greatest prime factor of 251 is 251.

• What are six multiples of 251?

First five multiples of 251 are 502, 753, 1004, 1255, 1506, 1757.

• What are factors of 251?

Factors of 251 are 1, 251.

• Which is the smallest prime factor of 251?

Smallest prime factor of 251 is 251.

• Is 251 a whole number?

Yes 251 is a whole number.

#### Examples of Factors

Kevin has been asked to write 1 factor(s) of 251. Can you predict the answer?

1 factor(s) of 251 is 1.

Sammy is puzzled while calculating the prime factors of 251. Can you help him find them?

Factors of 251 are 1, 251.
Prime factors of 251 are 251

What is prime factorization of 251?

Prime factorization of 251 is 251 = 251.

Ariel has been assigned the task to find the product of all the prime factors of 251. Can you help her?

Prime factors of 251 are 251.
Hence, the product of prime factors of 251.

Can you help Rubel to find out the product of the even factors of 251?

Factors of 251 are 1, 251.
Even factors of 251 are 0.
Hence, product of even factors of 251 is; 0 = 0.

Joy wants to calculate mean of all the factors of 251. Help him in finding the mean of 251.

Factors of 251 are 1, 251.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 251 is 1 + 251 = 252.
Hence, the mean of factors of 251 is 252 ÷ 2 = 126.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 251? Help her in writing all the factors.

Positive factors are 1, 251.
Negative factors are -1, -251.