Factors of 2750 in pair are (1, 2750) , (2, 1375) , (5, 550) , (10, 275) , (11, 250) , (22, 125) , (25, 110) and (50, 55)

How to find factors of a number in pair

Steps to find factors of 2750 in pair

Example: Find factors of 2750 in pair

Factor Pair Pair Factorization
1 and 2750 1 x 2750 = 2750
2 and 1375 2 x 1375 = 2750
5 and 550 5 x 550 = 2750
10 and 275 10 x 275 = 2750
11 and 250 11 x 250 = 2750
22 and 125 22 x 125 = 2750
25 and 110 25 x 110 = 2750
50 and 55 50 x 55 = 2750

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 2750. They are called negative pair factors.

Hence, the negative pairs of 2750 would be ( -1 , -2750 ) .

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 2750 are 1 , 2 , 5 , 10 , 11 , 22 , 25 , 50 , 55 , 110 , 125 , 250 , 275 , 550 , 1375 , 2750. So, factors of 2750 in pair are (1,2750), (2,1375), (5,550), (10,275), (11,250), (22,125), (25,110), (50,55).

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. 2750 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, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 1375, 2750 are exact divisors of 2750.
  • 1 is a factor of every number. Eg. 1 is a factor of 2750.
  • Every number is a factor of zero (0), since 2750 x 0 = 0.

Steps to find Factors of 2750

  • Step 1. Find all the numbers that would divide 2750 without leaving any remainder. Starting with the number 1 upto 1375 (half of 2750). The number 1 and the number itself are always factors of the given number.
    2750 ÷ 1 : Remainder = 0
    2750 ÷ 2 : Remainder = 0
    2750 ÷ 5 : Remainder = 0
    2750 ÷ 10 : Remainder = 0
    2750 ÷ 11 : Remainder = 0
    2750 ÷ 22 : Remainder = 0
    2750 ÷ 25 : Remainder = 0
    2750 ÷ 50 : Remainder = 0
    2750 ÷ 55 : Remainder = 0
    2750 ÷ 110 : Remainder = 0
    2750 ÷ 125 : Remainder = 0
    2750 ÷ 250 : Remainder = 0
    2750 ÷ 275 : Remainder = 0
    2750 ÷ 550 : Remainder = 0
    2750 ÷ 1375 : Remainder = 0
    2750 ÷ 2750 : Remainder = 0

Hence, Factors of 2750 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 1375, and 2750

Frequently Asked Questions

  • Is 2750 a composite number?

    Yes 2750 is a composite number.

  • Is 2750 a prime number?

    No 2750 is not a prime number.

  • Is 2750 a perfect square?

    No 2750 is not a perfect square.

  • Write five multiples of 2750.

    Five multiples of 2750 are 5500, 8250, 11000, 13750, 16500.

  • Write all odd factors of 2750?

    The factors of 2750 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 1375, 2750.
    Odd factors of 2750 are 1 , 5 , 11 , 25 , 55 , 125 , 275 , 1375.

Examples of Factors

Can you help Rubel in arranging 2750 blocks in order to form a rectangle in all possible ways? For arranging 2750 blocks in order to form a rectangle in all possible ways we need to find factors of 2750 in pair.

Factors of 2750 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 1375, 2750. So, factors of 2750 in pair are (1,2750), (2,1375), (5,550), (10,275), (11,250), (22,125), (25,110), (50,55).

Ariel has been asked to write all factor pairs of 2750 but she is finding it difficult. Can you help her find out?

Factors of 2750 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 1375, 2750. So, factors of 2750 in pair are (1,2750), (2,1375), (5,550), (10,275), (11,250), (22,125), (25,110), (50,55).

How many total number of factors of 2750 in pair are possible?

Factors of 2750 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 1375, 2750. Hence, the factors of 2750 in pair are (1,2750), (2,1375), (5,550), (10,275), (11,250), (22,125), (25,110), (50,55). Therefore, in total 8 pairs of factors are possible.

Sammy wants to write all the negative factors of 2750 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 2750 are -1, -2, -5, -10, -11, -22, -25, -50, -55, -110, -125, -250, -275, -550, -1375, -2750. Hence, factors of 2750 in pair are (-1,-2750), (-2,-1375), (-5,-550), (-10,-275), (-11,-250), (-22,-125), (-25,-110), (-50,-55).

Help Deep in writing the positive factors of 2750 in pair and negative factor of 2750 in pair.

Factors of 2750 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 1375, 2750. Positive factors of 2750 in pair are (1,2750), (2,1375), (5,550), (10,275), (11,250), (22,125), (25,110), (50,55). Negative factors of 2750 in pair are (-1,-2750), (-2,-1375), (-5,-550), (-10,-275), (-11,-250), (-22,-125), (-25,-110), (-50,-55).

Find the product of all factors of 2750.

Factors of 2750 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 1375, 2750. So the product of all factors of 2750 would be 1 x 2 x 5 x 10 x 11 x 22 x 25 x 50 x 55 x 110 x 125 x 250 x 275 x 550 x 1375 x 2750 = 3.270856948852539e+27.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 2750.
- Writing all prime factors of 2750.
- Writing all the possible factors of 2750 in pair.
Help him in writing all these.

Positive factors of 2750 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 1375, 2750.
Prime factors of 2750 are 2, 5, 5, 5, 11.
Factors of 2750 in pair are (1,2750), (2,1375), (5,550), (10,275), (11,250), (22,125), (25,110), (50,55).

Can you help Sammy list the factors of 2750 and also find the factor pairs?

Factors of 2750 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 1375, 2750.
Factors of 2750 in pair are (1,2750), (2,1375), (5,550), (10,275), (11,250), (22,125), (25,110), (50,55).