# Factors of 950

Factors of 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, and 950

#### How to find factors of a number

 1.   Find factors of 950 using Division Method 2.   Find factors of 950 using Prime Factorization 3.   Find factors of 950 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 950

• Divide 950 by 1: 950 ÷ 1 : Remainder = 0
• Divide 950 by 2: 950 ÷ 2 : Remainder = 0
• Divide 950 by 5: 950 ÷ 5 : Remainder = 0
• Divide 950 by 10: 950 ÷ 10 : Remainder = 0
• Divide 950 by 19: 950 ÷ 19 : Remainder = 0
• Divide 950 by 25: 950 ÷ 25 : Remainder = 0
• Divide 950 by 38: 950 ÷ 38 : Remainder = 0
• Divide 950 by 50: 950 ÷ 50 : Remainder = 0
• Divide 950 by 95: 950 ÷ 95 : Remainder = 0
• Divide 950 by 190: 950 ÷ 190 : Remainder = 0
• Divide 950 by 475: 950 ÷ 475 : Remainder = 0
• Divide 950 by 950: 950 ÷ 950 : Remainder = 0

Hence, Factors of 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, and 950

#### 2. Steps to find factors of 950 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 950 using the division method, follow these steps:

• Step 1. Start dividing 950 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 950, which is 2. Divide 950 by 2 to obtain the quotient (475).
950 ÷ 2 = 475
• Step 3. Repeat step 1 with the obtained quotient (475).
475 ÷ 5 = 95
95 ÷ 5 = 19
19 ÷ 19 = 1

So, the prime factorization of 950 is, 950 = 2 x 5 x 5 x 19.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 950 as shown below:

So, the prime factorization of 950 is, 950 = 2 x 5 x 5 x 19.

#### 3. Find factors of 950 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 950 would be the two numbers which, when multiplied, give 950 as the result.

The following table represents the calculation of factors of 950 in pairs:

Factor Pair Pair Factorization
1 and 950 1 x 950 = 950
2 and 475 2 x 475 = 950
5 and 190 5 x 190 = 950
10 and 95 10 x 95 = 950
19 and 50 19 x 50 = 950
25 and 38 25 x 38 = 950

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 950. They are called negative pair factors.

Hence, the negative pairs of 950 would be ( -1 , -950 ) , ( -2 , -475 ) , ( -5 , -190 ) , ( -10 , -95 ) , ( -19 , -50 ) and ( -25 , -38 ) .

#### What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 950 is a factor of itself.
• 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, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950 are exact divisors of 950.
• 1 is a factor of every number. Eg. 1 is a factor of 950.
• Every number is a factor of zero (0), since 950 x 0 = 0.

• What are the pair factors of 950?

Pair factors of 950 are (1,950), (2,475), (5,190), (10,95), (19,50), (25,38).

• What are five multiples of 950?

First five multiples of 950 are 1900, 2850, 3800, 4750, 5700.

• What two numbers make 950?

Two numbers that make 950 are 2 and 475.

• What is the sum of all factors of 950?

The sum of all factors of 950 is 1860.

• What are factors of -950?

Factors of -950 are -1, -2, -5, -10, -19, -25, -38, -50, -95, -190, -475, -950.

• What are factors of 950?

Factors of 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950.

• Is 950 a perfect square?

No 950 is not a perfect square.

• Which is the smallest prime factor of 950?

Smallest prime factor of 950 is 2.

• Which is greatest factor of 950?

The greatest factor of 950 is 475.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 950?

Factors of 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950.
Odd factors of 950 are 1, 5, 19, 25, 95, 475.
Hence product of odd factors of 950 is; 1 x 5 x 19 x 25 x 95 x 475 = 107171875.

Joey wants to write all the prime factors of 950 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 950 are 2, 5, 5, 19.
So in exponential form it can be written as 2 x 52 x 19.

How many factors are there for 950?

Factors of 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950.
So there are in total 12 factors.

Kevin has been asked to write 11 factor(s) of 950. Can you predict the answer?

11 factor(s) of 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475.

Sammy is puzzled while calculating the prime factors of 950. Can you help him find them?

Factors of 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950.
Prime factors of 950 are 2, 5, 5, 19

What is prime factorization of 950?

Prime factorization of 950 is 2 x 5 x 5 x 19 = 2 x 52 x 19.

Can you help Rubel to find out the product of the even factors of 950?

Factors of 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950.
Even factors of 950 are 2, 10, 38, 50, 190, 950.
Hence, product of even factors of 950 is; 2 x 10 x 38 x 50 x 190 x 950 = 6859000000.