A day full of math games & activities. Find one near you.

Factors of 950

Factors of 950 are the list of integers that can be evenly divided into 950. There are overall 12 factors of 950, of which 2, 5, 19 are its prime factors. The sum of all factors of 950 is 1860.

All Factors of 950: 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475 and 950
Prime Factors of 950: 2, 5, 19
Prime Factorization of 950: 2¹ × 5² × 19¹
Sum of Factors of 950: 1860

1.	What Are the Factors of 950?
2.	Factors of 950 by Prime Factorization
3.	Factors of 950 in Pairs
4.	FAQs on Factors of 950

What are Factors of 950?

Factors of 950 are pairs of those numbers whose products result in 950. These factors are either prime numbers or composite numbers.

How to Find the Factors of 950?

To find the factors of 950, we will have to find the list of numbers that would divide 950 without leaving any remainder.

950/38 = 25; therefore, 38 is a factor of 950 and 25 is also a factor of 950.
950/10 = 95; therefore, 10 is a factor of 950 and 95 is also a factor of 950.

Similarly we can find other factors. Hence, the factors of 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950.

☛ Also Check:

Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20
Factors of 39 - The factors of 39 are 1, 3, 13, 39
Factors of 91 - The factors of 91 are 1, 7, 13, 91
Factors of 121 - The factors of 121 are 1, 11, 121
Factors of 65 - The factors of 65 are 1, 5, 13, 65

Factors of 950 by Prime Factorization

The number 950 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 950. The first step is to divide the number 950 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

950 ÷ 2 = 475

Further dividing 475 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 475 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.

So, the prime factorization of 950 can be written as 2¹ × 5² × 19¹ where 2, 5, 19 are prime.

Factors of 950 in Pairs

Pair factors of 950 are the pairs of numbers that when multiplied give the product 950. The factors of 950 in pairs are:

1 × 950 = (1, 950)
2 × 475 = (2, 475)
5 × 190 = (5, 190)
10 × 95 = (10, 95)
19 × 50 = (19, 50)
25 × 38 = (25, 38)

Negative pair factors of 950 are:

-1 × -950 = (-1, -950)
-2 × -475 = (-2, -475)
-5 × -190 = (-5, -190)
-10 × -95 = (-10, -95)
-19 × -50 = (-19, -50)
-25 × -38 = (-25, -38)

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.

Factors of 950 Solved Examples

Example 1: How many factors are there for 950?

Solution:

The factors of 950 are too many, therefore if we can find the prime factorization of 950, then the total number of factors can be calculated using the formula shown below.
If the prime factorization of the number is a^x × b^y × c^z where a, b, c are prime, then the total number of factors can be given by (x + 1)(y + 1)(z + 1).

Prime Factorization of 950 = 2¹ × 5² × 19¹
Therefore, the total number of factors are (1 + 1) × (2 + 1) × (1 + 1) = 2 × 3 × 2 = 12
Example 2: Find the Least Common Multiple (LCM) and Greatest Common Divisor (GCD) of 950 and 48.

Solution:

The factors of 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950 and factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.

Therefore, the Least Common Multiple (LCM) of 950 and 48 is 22800 and Greatest Common Divisor (GCD) of 950 and 48 is 2.
Example 3: Find if 1, 25, 38, 116, 190, 475 and 950 are factors of 950.

Solution:

When we divide 950 by 116 it leaves a remainder. Therefore, the number 116 is not a factor of 950. All numbers except 116 are factors of 950.
Example 4: Find the product of all the prime factors of 950.

Solution:

Since, the prime factors of 950 are 2, 5, 19. Therefore, the product of prime factors = 2 × 5 × 19 = 190.

go to slide go to slide go to slide go to slide

Ready to see the world through math’s eyes?

Math is at the core of everything we do. Enjoy solving real-world math problems in live classes and become an expert at everything.

Book a Free Trial Class

go to slide go to slide go to slide go to slide go to slide

FAQs on Factors of 950

What are the Factors of 950?

The factors of 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950 and its negative factors are -1, -2, -5, -10, -19, -25, -38, -50, -95, -190, -475, -950.

What is the Sum of all Factors of 950?

Sum of all factors of 950 = (2^{1 + 1} - 1)/(2 - 1) × (5^{2 + 1} - 1)/(5 - 1) × (19^{1 + 1} - 1)/(19 - 1) = 1860

What numbers are the Pair Factors of 950?

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

What is the Greatest Common Factor of 950 and 389?

The factors of 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950 and the factors of 389 are 1, 389. 950 and 389 have only one common factor which is 1. This implies that 950 and 389 are co-prime.

Hence, the Greatest Common Factor (GCF) of 950 and 389 is 1.

What are the Common Factors of 950 and 711?

Since, the factors of 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950 and factors of 711 are 1, 3, 9, 79, 237, 711. Hence, 950 and 711 have only one common factor which is 1. Therefore, 950 and 711 are co-prime.

Math worksheets and
visual curriculum