Factors of 1250

Factors of 1250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, and 1250 itself. These integers may be multiplied by another integer to produce the precise number 1250.

In this article, we will discuss the factors of 1250, and how to find them, along with the factor tree and prime factorization of 1250.

What are the Factors of 1250?

The factors of 1250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250. There are a total of 10 factors of 1250. The number 1250 is obtained by pairing these variables in specific combinations and may be divided by these numbers without any leftovers. When 1250 is divided perfectly by any integer, the factors of 1250 are the divisor and the quotient.

Factors Calculator

Try out the following calculator to calculate factors of 1250

All Factors of 1250

All the numbers that divide 1250 evenly without producing a remainder are known as factors of 1250.

All the factors of 1250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250

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How to Find Factors of 1250?

There are several ways to find the Factors of 1250, including the division and multiplication methods. We will go into more detail about each of these method, which are listed below:

• Factors of 1250 using Multiplication
• Factors of 1250 using Division

Factors of 1250 Using Multiplication Method

Let’s obtain the factors of 1250 by Multiplication Method with a solved example.

• 1 × 1250 = 1250 ⇒ 1 and 1250 are factors of 1250
• 2 × 625 = 1250 ⇒ 2 and 625 are factors of 1250
• 5 × 250 = 1250 ⇒ 5 and 250 are factors of 1250
• 10 × 125 = 1250 ⇒ 10 and 125 are factors of 1250
• 25 × 50 = 1250 ⇒ 25 and 50 are factors of 1250

Factors of 1250 Using Division Method

Let’s obtain the factors of 1250 by Division Method with a solved example:

• 1250 ÷ 1 = 1250 ⇒ 1 and 1250 are factors of 1250
• 1250 ÷ 2 = 625 ⇒ 2 and 625 are factors of 1250
• 1250 ÷ 5 = 250 ⇒ 5 and 250 are factors of 1250
• 1250 ÷ 10 = 125 ⇒ 10 and 125 are factors of 1250
• 1250 ÷ 25 = 50 ⇒ 50 and 25 are factors of 1250

Therefore, the factors of 1250 obtained using the multiplication and division method are 1, 2, 5, 10, 25, 50, 125, 250, 625, and 1250.

Prime Factorization of 1250

To get the prime factor of 1250, we must divide 1250 by each prime number until there is only one left. So, let’s see the prime factors of 1250 in the following steps:

• Let’s start by dividing 1250 by the smallest prime number 2 then we get 625.
• Now, continue with the factorization, 2 will remain the same and 625 will be distributed into two factors 5 and 125.
• Then 5 will remain the same and 125 will be distributed into 5 and 25.
• Again, 5 will remain as it is and 25 will be distributed into 5 and 5.
• At last, both the numbers are 5 and they are prime numbers. So, the calculation will end here.

Therefore , the prime factors of 1250 are 2 × 5 × 5 × 5 × 5 or 2 × 5⁴

Prime Factors of 1250

Since, the prime factors of 1250 are 2 × 5 × 5 × 5 × 5 or 2 × 5⁴ . Hence, 2 and 5 are only two prime factors of 1250.

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Factor Tree of 1250

Let’s see the factor tree of 1250, and how it begins.

• Step 1: Let’s begin with the number 1250.
• Step 2: After that, Find two numbers that multiply to give 1250. In this situation 2 and 625 will give 2 × 625 = 625.
• Step 3: Continue breaking down of numbers,625 divided by 5 will give 125.
• Step 4: Again with the breakdown of 125 that will be divided by 5 get 25.
• Step 5: At last break down of 25 that will be divided by 5 and get 5.

Therefore, 5 is the prime number and after combining the factors of 1250 we get 2 × 5 × 5 × 5 × 5.

Factors of 1250 in Pairs

The pair factors of 1250 are the numbers that multiply simultaneously to produce the original number 1250. The pair factors of 1250 contain both positive and negative pairs. Now, let’s examine the original number pairs that are provided below;

Positive Factor Pairs of 1250

Below are the positive factor pairs of 1250.

Positive Factor Pairs	Product
(1, 1250)	1 × 1250 = 1250
(2, 625)	2 × 625 = 1250
(5, 250)	5 × 250 = 1250
(10, 125)	10 × 125 = 1250
(25, 50)	25 × 50 = 1250

Hence, the positive pair factors of 1250 are (1, 1250), (2, 625), (5, 250), (10, 125), (25, 50).

Negative Factor Pairs of 1250

Below are the negative factor pairs of 1250:

Negative Factor Pairs	Product
(-1, -1250)	-1 × -1250 = 1250
(-2, -625)	-2 × -625 = 1250
(-5, -250)	-5 × -250 = 1250
(-10, -125)	-10 × -125 = 1250
(-25, -50)	-25 × -50 = 1250

Hence, the negative factor pairs of 1250 are (-1, -1250), (-2, -625), (-5, -250), (-10, -125), (-25, -50).

Factors of 1250 Solved Examples

Example 1: Find out the common factors of 1250 and 474.

Solution:

The common factor of given numbers 1250 and 474 are given below;

1250 = 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250

474 = 1, 2, 3, 6, 79, 158, 237, 474.

Therefore, the common factors between 1250 and 474 are 1 and 2.

Example 2: Find the Sum of all the Factors of 1250.

Solution:

Let’s find sum of all factors of 1250, Therefore the factors of 1250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250

Sum of these factors are 1 + 2 + 5 + 10 + 25 + 50 + 125 + 250 + 625 + 1250.

So, Total sum of factors of 1250 is 2343.

Example 3: Radha brought a biscuits to the old age home and distributed it into 1250 packets. How will she divide the biscuits equally among the 625 old person?

Solution:

Numbers of Packets = 1250

Numbers of old person = 625

Number of Packets ÷ No. of old person

= 1250 ÷ 625 = 2

Therefore, Radha will distribute 2 biscuit packets to each old person.

Example 4: Express 1250 as the product of its prime factors.

Solution:

To express 1250 as the product of prime factors following steps are given below;

• Divide 1250 by 2 get 625.
• Then, divide 625 by 5 get 125
• After that,125 divide by 5 get 25.
• Again, divide 25 divide by 5 and get 5
• At last divide 5 by 5 gives 1.

Now, after combining factors we get 2 × 5 × 5 × 5 × 5 and Therefore, the prime factors of 1250 is 2 × 5⁴

Factors of 1250 Practice Questions

Q1. Determine the sum of all the factors of 1250.

Q2. Verify if 1250 is a multiple of 4.

Q3. Calculate the product of the prime factors of 1250.

Q4. Identify the common factors of 1250 and 1500.

Factors of 1250 Frequently Asked Questions

What are Factors of 1250?

The factors of 1250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250.

Is 25 a Factor of 1250?

Yes, 25 is a factor of 1250.

What are Prime Factors of 250?

The prime factors of 250 are 2 and 5.

What are Positive Pair Factors of 1250?

Positive pair factors of 1250 are (1, 1250), (2, 625), (5, 250), (10, 125), (25, 50).

What are Common Factors of 45 and 1250?

The common factors of 45 and 1250 are 1 and 5.

What are Common Factors of 125 and 1250?

The common factors of 125 and 1250 are 1, 5, and 25.

What are Common Factors of 50 and 625?

The common factors of 50 and 625 are 1 and 5.