Factors of 1650 in pair are (1, 1650) , (2, 825) , (3, 550) , (5, 330) , (6, 275) , (10, 165) , (11, 150) , (15, 110) , (22, 75) , (25, 66) , (30, 55) and (33, 50)

How to find factors of a number in pair

Steps to find factors of 1650 in pair

Example: Find factors of 1650 in pair

Factor Pair Pair Factorization
1 and 1650 1 x 1650 = 1650
2 and 825 2 x 825 = 1650
3 and 550 3 x 550 = 1650
5 and 330 5 x 330 = 1650
6 and 275 6 x 275 = 1650
10 and 165 10 x 165 = 1650
11 and 150 11 x 150 = 1650
15 and 110 15 x 110 = 1650
22 and 75 22 x 75 = 1650
25 and 66 25 x 66 = 1650
30 and 55 30 x 55 = 1650
33 and 50 33 x 50 = 1650

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 1650. They are called negative pair factors.

Hence, the negative pairs of 1650 would be ( -1 , -1650 ) .

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 1650 are 1 , 2 , 3 , 5 , 6 , 10 , 11 , 15 , 22 , 25 , 30 , 33 , 50 , 55 , 66 , 75 , 110 , 150 , 165 , 275 , 330 , 550 , 825 , 1650. So, factors of 1650 in pair are (1,1650), (2,825), (3,550), (5,330), (6,275), (10,165), (11,150), (15,110), (22,75), (25,66), (30,55), (33,50).

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. 1650 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, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 150, 165, 275, 330, 550, 825, 1650 are exact divisors of 1650.
  • 1 is a factor of every number. Eg. 1 is a factor of 1650.
  • Every number is a factor of zero (0), since 1650 x 0 = 0.

Steps to find Factors of 1650

  • Step 1. Find all the numbers that would divide 1650 without leaving any remainder. Starting with the number 1 upto 825 (half of 1650). The number 1 and the number itself are always factors of the given number.
    1650 ÷ 1 : Remainder = 0
    1650 ÷ 2 : Remainder = 0
    1650 ÷ 3 : Remainder = 0
    1650 ÷ 5 : Remainder = 0
    1650 ÷ 6 : Remainder = 0
    1650 ÷ 10 : Remainder = 0
    1650 ÷ 11 : Remainder = 0
    1650 ÷ 15 : Remainder = 0
    1650 ÷ 22 : Remainder = 0
    1650 ÷ 25 : Remainder = 0
    1650 ÷ 30 : Remainder = 0
    1650 ÷ 33 : Remainder = 0
    1650 ÷ 50 : Remainder = 0
    1650 ÷ 55 : Remainder = 0
    1650 ÷ 66 : Remainder = 0
    1650 ÷ 75 : Remainder = 0
    1650 ÷ 110 : Remainder = 0
    1650 ÷ 150 : Remainder = 0
    1650 ÷ 165 : Remainder = 0
    1650 ÷ 275 : Remainder = 0
    1650 ÷ 330 : Remainder = 0
    1650 ÷ 550 : Remainder = 0
    1650 ÷ 825 : Remainder = 0
    1650 ÷ 1650 : Remainder = 0

Hence, Factors of 1650 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 150, 165, 275, 330, 550, 825, and 1650

Frequently Asked Questions

  • Is 1650 a composite number?

    Yes 1650 is a composite number.

  • Is 1650 a prime number?

    No 1650 is not a prime number.

  • What is the mean of factors of 1650?

    Factors of 1650 are 1 , 2 , 3 , 5 , 6 , 10 , 11 , 15 , 22 , 25 , 30 , 33 , 50 , 55 , 66 , 75 , 110 , 150 , 165 , 275 , 330 , 550 , 825 , 1650. therefore mean of factors of 1650 is (1 + 2 + 3 + 5 + 6 + 10 + 11 + 15 + 22 + 25 + 30 + 33 + 50 + 55 + 66 + 75 + 110 + 150 + 165 + 275 + 330 + 550 + 825 + 1650) / 24 = 186.00.

  • What do you mean by proper divisors?

    A number x is said to be the proper divisor of y if it divides y completely, given that x is smaller than y.

  • What do you mean by improper divisors?

    An improper divisor of a number is the number itself apart from this any divisor of a given number is a proper divisor.

Examples of Factors

Ariel has been asked to write all factor pairs of 1650 but she is finding it difficult. Can you help her find out?

Factors of 1650 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 150, 165, 275, 330, 550, 825, 1650. So, factors of 1650 in pair are (1,1650), (2,825), (3,550), (5,330), (6,275), (10,165), (11,150), (15,110), (22,75), (25,66), (30,55), (33,50).

Sammy wants to write all the negative factors of 1650 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 1650 are -1, -2, -3, -5, -6, -10, -11, -15, -22, -25, -30, -33, -50, -55, -66, -75, -110, -150, -165, -275, -330, -550, -825, -1650. Hence, factors of 1650 in pair are (-1,-1650), (-2,-825), (-3,-550), (-5,-330), (-6,-275), (-10,-165), (-11,-150), (-15,-110), (-22,-75), (-25,-66), (-30,-55), (-33,-50).

Help Deep in writing the positive factors of 1650 in pair and negative factor of 1650 in pair.

Factors of 1650 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 150, 165, 275, 330, 550, 825, 1650. Positive factors of 1650 in pair are (1,1650), (2,825), (3,550), (5,330), (6,275), (10,165), (11,150), (15,110), (22,75), (25,66), (30,55), (33,50). Negative factors of 1650 in pair are (-1,-1650), (-2,-825), (-3,-550), (-5,-330), (-6,-275), (-10,-165), (-11,-150), (-15,-110), (-22,-75), (-25,-66), (-30,-55), (-33,-50).

Find the product of all prime factors of 1650.

Factors of 1650 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 150, 165, 275, 330, 550, 825, 1650. Prime factors are 2, 3, 5, 5, 11. So, the product of all prime factors of 1650 would be 2 x 3 x 5 x 5 x 11 = 1650.

Can you help Sammy list the factors of 1650 and also find the factor pairs?

Factors of 1650 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 150, 165, 275, 330, 550, 825, 1650.
Factors of 1650 in pair are (1,1650), (2,825), (3,550), (5,330), (6,275), (10,165), (11,150), (15,110), (22,75), (25,66), (30,55), (33,50).

Help Diji in finding factors of 1650 by Prime Factorization method and then sorting factors of 1650 in pairs.

Prime factorization of 1650 is 2 x 3 x 5 x 5 x 11. Factors of 1650 in pair can be written as (1,1650), (2,825), (3,550), (5,330), (6,275), (10,165), (11,150), (15,110), (22,75), (25,66), (30,55), (33,50).

Write the smallest prime factor of 1650.

Smallest prime factor of 1650 is 2.

Write the largest prime factor of 1650.

Largest prime factor of 1650 is 11.