# Factors of 1250 in pair

Factors of 1250 in pair are (1, 1250) , (2, 625) , (5, 250) , (10, 125) and (25, 50)

#### How to find factors of a number in pair

 1.   Steps to find factors of 1250 in pair 2.   What is factors of a number in pair? 3.   What are Factors? 4.   Frequently Asked Questions 5.   Examples of factors in pair

### Example: Find factors of 1250 in pair

Factor Pair Pair Factorization
1 and 1250 1 x 1250 = 1250
2 and 625 2 x 625 = 1250
5 and 250 5 x 250 = 1250
10 and 125 10 x 125 = 1250
25 and 50 25 x 50 = 1250

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 1250. They are called negative pair factors.

Hence, the negative pairs of 1250 would be ( -1 , -1250 ) .

#### Definition of factor pairs?

In mathematics, factor pair are often given as pair of numbers which when multiplied together give the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 1250 are 1 , 2 , 5 , 10 , 25 , 50 , 125 , 250 , 625 , 1250. So, factors of 1250 in pair are (1,1250), (2,625), (5,250), (10,125), (25,50).

#### 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. 1250 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, 25, 50, 125, 250, 625, 1250 are exact divisors of 1250.
• 1 is a factor of every number. Eg. 1 is a factor of 1250.
• Every number is a factor of zero (0), since 1250 x 0 = 0.

#### Steps to find Factors of 1250

• Step 1. Find all the numbers that would divide 1250 without leaving any remainder. Starting with the number 1 upto 625 (half of 1250). The number 1 and the number itself are always factors of the given number.
1250 ÷ 1 : Remainder = 0
1250 ÷ 2 : Remainder = 0
1250 ÷ 5 : Remainder = 0
1250 ÷ 10 : Remainder = 0
1250 ÷ 25 : Remainder = 0
1250 ÷ 50 : Remainder = 0
1250 ÷ 125 : Remainder = 0
1250 ÷ 250 : Remainder = 0
1250 ÷ 625 : Remainder = 0
1250 ÷ 1250 : Remainder = 0

Hence, Factors of 1250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, and 1250

• Is 1250 a composite number?

Yes 1250 is a composite number.

• Is 1250 a prime number?

No 1250 is not a prime number.

• Is 1250 a perfect square?

No 1250 is not a perfect square.

• Write five multiples of 1250.

Five multiples of 1250 are 2500, 3750, 5000, 6250, 7500.

• Write all odd factors of 1250?

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

#### Examples of Factors

Ariel has been asked to write all factor pairs of 1250 but she is finding it difficult. Can you help her find out?

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

Sammy wants to write all the negative factors of 1250 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 1250 are -1, -2, -5, -10, -25, -50, -125, -250, -625, -1250. Hence, factors of 1250 in pair are (-1,-1250), (-2,-625), (-5,-250), (-10,-125), (-25,-50).

Help Deep in writing the positive factors of 1250 in pair and negative factor of 1250 in pair.

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

Find the product of all prime factors of 1250.

Factors of 1250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250. Prime factors are 2, 5, 5, 5, 5. So, the product of all prime factors of 1250 would be 2 x 5 x 5 x 5 x 5 = 1250.

Can you help Sammy list the factors of 1250 and also find the factor pairs?

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

Help Diji in finding factors of 1250 by Prime Factorization method and then sorting factors of 1250 in pairs.

Prime factorization of 1250 is 2 x 5 x 5 x 5 x 5. Factors of 1250 in pair can be written as (1,1250), (2,625), (5,250), (10,125), (25,50).

Write the smallest prime factor of 1250.

Smallest prime factor of 1250 is 2.

Write the largest prime factor of 1250.

Largest prime factor of 1250 is 5.