Factors of 250 — Easy division And Prime Factorization

Factors of 250

In Mathematics, factors of 250 are the natural numbers by which the original number can be evenly divided.

They are also called divisors of 250 since they divide the original number. Although 250 is a multiple of 25, it is not a perfect square. Moreover, 250 is divisible by 5 (by divisibility rules).

When the multiplication of two natural numbers equals 250, they are the necessary factors of 250. A composite number with an even number factor is 250.

Let’s identify the factors of 250 as well as the prime and pair factors.

What are the Factors of -250?

When we multiply two numbers, and we get -250 as a product, those numbers are the factors of -250. 

Here is the explanation:

-1 × 250 = -250

 1 × -250 = -250 

 -2 × 125 = -250

 2 × -125 = -250

 -5 × 50 = -250 

 5 × -50 = -250

 -10 × 25 = -250

 10 × -25 = -250

We can get -250 by having (-1, 250), (-2, 125), (-5, 50), and (-10, 25) as a pair of factors. Similarly, we can also get -250 by having(1, -250), (2, -125), (5, -50), and (10, -25) as a pair of factors.

How to Find the Factors of 250?

Finding the factors of 250 is easy. In order to divide 250 evenly, we must divide it by all such natural numbers. Alternatively, you can multiply these two numbers together to get 250.

Thus, the factors of 250 are 1, 2, 5, 10, 25, 50, 125, 250.

More Factors

Factors of 215 = 1, 5, 43 and 215.

Factors of 216 = 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, and 216.

Factors of 47 = 1 and 47.

Factors of 150 = 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, and 150.

Factors of 144 = 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72 and 144.

Factors 24 in pairs= 1, 2, 3, 4, 6, 8, 12, and 24.

Pair Factors of 250

When two integers are multiplied by each other to result in 250, then they have required pair factors. Then,

1 × 250 = 250

2 × 125 = 250

5 × 50 = 250

10 × 25 = 250

Thus, the pair factors of 250 are (1, 250), (2, 125), (5, 50), and (10, 25).

To get the factors in pairs, we can find the product of two negative numbers:

-1 × -250 = 250

-2 × -125 = 250

-5 × -50 = 250

-10 × -25 = 250

Thus, the negative pair factors are (-1, -250), (-2, -125), (-5, -50), (-10, -25).

Prime Factorization of 250

If we prime factorize 250, we will get prime factors that divide the original number evenly.

Therefore, the prime factors of 250 are 2 and 5.

Solved Examples

Q.1: How much is the sum of all the factors of 250?

Solution: Factors of 250 = 1, 2, 5, 10, 25, 50, 125, 250.

Sum = 1+2+5+10+25+50+125+ 250 = 468

Thus, the required sum is 468.

Q.2: Calculate the common factors of 255 and 46.

Solution: Let us look at the factors of the numbers 255 and 250.

Factors of 250 = 1, 2, 5, 10, 25, 50, 125, 250

Multiples of 46 in pairs= 1, 2, 23, and 46.

Thus, the common factors of 250 and 46 are 1 and 2.

Q.3: Find out the GCF of 250 and 441.

Solution: The individual factors are:

250 = 1, 2, 5, 10, 25, 50, 125, 250

Factors of 441 in pairs= 1, 3, 7, 9, 21, 49, 63, 147, and 441.

Thus, the greatest common factor between 250 and 441 is:

GCF (250, 260) = 1

Practice Questions

1. Find the average of factors of 250.
2. Find the common factors of 250 and 150.
3. Is 20 a factor of 250?
4. Write the factors of 250 in product form.
5. Sheena wants to distribute 250 chocolates among 50 children in a classroom. How can she do that?

FAQ’s

Here are the respective factors:

150 = 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

250 = 1, 2, 5, 10, 25, 50, 125, 250

GCF (150, 250) = 50