Factors of 3800 in pair are (1, 3800) , (2, 1900) , (4, 950) , (5, 760) , (8, 475) , (10, 380) , (19, 200) , (20, 190) , (25, 152) , (38, 100) , (40, 95) and (50, 76)

How to find factors of a number in pair

Steps to find factors of 3800 in pair

Example: Find factors of 3800 in pair

Factor Pair Pair Factorization
1 and 3800 1 x 3800 = 3800
2 and 1900 2 x 1900 = 3800
4 and 950 4 x 950 = 3800
5 and 760 5 x 760 = 3800
8 and 475 8 x 475 = 3800
10 and 380 10 x 380 = 3800
19 and 200 19 x 200 = 3800
20 and 190 20 x 190 = 3800
25 and 152 25 x 152 = 3800
38 and 100 38 x 100 = 3800
40 and 95 40 x 95 = 3800
50 and 76 50 x 76 = 3800

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 3800. They are called negative pair factors.

Hence, the negative pairs of 3800 would be ( -1 , -3800 ) .

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 3800 are 1 , 2 , 4 , 5 , 8 , 10 , 19 , 20 , 25 , 38 , 40 , 50 , 76 , 95 , 100 , 152 , 190 , 200 , 380 , 475 , 760 , 950 , 1900 , 3800. So, factors of 3800 in pair are (1,3800), (2,1900), (4,950), (5,760), (8,475), (10,380), (19,200), (20,190), (25,152), (38,100), (40,95), (50,76).

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. 3800 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 3800.
  • Every number is a factor of zero (0), since 3800 x 0 = 0.
  • 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, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900, 3800 are exact divisors of 3800.
  • Factors of 3800 are 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900, 3800. Each factor divides 3800 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900, 3800 are all less than or equal to 3800.

Steps to find Factors of 3800

  • Step 1. Find all the numbers that would divide 3800 without leaving any remainder. Starting with the number 1 upto 1900 (half of 3800). The number 1 and the number itself are always factors of the given number.
    3800 ÷ 1 : Remainder = 0
    3800 ÷ 2 : Remainder = 0
    3800 ÷ 4 : Remainder = 0
    3800 ÷ 5 : Remainder = 0
    3800 ÷ 8 : Remainder = 0
    3800 ÷ 10 : Remainder = 0
    3800 ÷ 19 : Remainder = 0
    3800 ÷ 20 : Remainder = 0
    3800 ÷ 25 : Remainder = 0
    3800 ÷ 38 : Remainder = 0
    3800 ÷ 40 : Remainder = 0
    3800 ÷ 50 : Remainder = 0
    3800 ÷ 76 : Remainder = 0
    3800 ÷ 95 : Remainder = 0
    3800 ÷ 100 : Remainder = 0
    3800 ÷ 152 : Remainder = 0
    3800 ÷ 190 : Remainder = 0
    3800 ÷ 200 : Remainder = 0
    3800 ÷ 380 : Remainder = 0
    3800 ÷ 475 : Remainder = 0
    3800 ÷ 760 : Remainder = 0
    3800 ÷ 950 : Remainder = 0
    3800 ÷ 1900 : Remainder = 0
    3800 ÷ 3800 : Remainder = 0

Hence, Factors of 3800 are 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900, and 3800

Frequently Asked Questions

  • Is 3800 a composite number?

    Yes 3800 is a composite number.

  • Is 3800 a prime number?

    No 3800 is not a prime number.

  • Is 3800 a perfect square?

    No 3800 is not a perfect square.

  • Write five multiples of 3800.

    Five multiples of 3800 are 7600, 11400, 15200, 19000, 22800.

  • Write all odd factors of 3800?

    The factors of 3800 are 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900, 3800.
    Odd factors of 3800 are 1 , 5 , 19 , 25 , 95 , 475.

Examples of Factors

Ariel has been asked to write all factor pairs of 3800 but she is finding it difficult. Can you help her find out?

Factors of 3800 are 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900, 3800. So, factors of 3800 in pair are (1,3800), (2,1900), (4,950), (5,760), (8,475), (10,380), (19,200), (20,190), (25,152), (38,100), (40,95), (50,76).

Sammy wants to write all the negative factors of 3800 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 3800 are -1, -2, -4, -5, -8, -10, -19, -20, -25, -38, -40, -50, -76, -95, -100, -152, -190, -200, -380, -475, -760, -950, -1900, -3800. Hence, factors of 3800 in pair are (-1,-3800), (-2,-1900), (-4,-950), (-5,-760), (-8,-475), (-10,-380), (-19,-200), (-20,-190), (-25,-152), (-38,-100), (-40,-95), (-50,-76).

Help Deep in writing the positive factors of 3800 in pair and negative factor of 3800 in pair.

Factors of 3800 are 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900, 3800. Positive factors of 3800 in pair are (1,3800), (2,1900), (4,950), (5,760), (8,475), (10,380), (19,200), (20,190), (25,152), (38,100), (40,95), (50,76). Negative factors of 3800 in pair are (-1,-3800), (-2,-1900), (-4,-950), (-5,-760), (-8,-475), (-10,-380), (-19,-200), (-20,-190), (-25,-152), (-38,-100), (-40,-95), (-50,-76).

Find the product of all factors of 3800.

Factors of 3800 are 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900, 3800. So the product of all factors of 3800 would be 1 x 2 x 4 x 5 x 8 x 10 x 19 x 20 x 25 x 38 x 40 x 50 x 76 x 95 x 100 x 152 x 190 x 200 x 380 x 475 x 760 x 950 x 1900 x 3800 = 9.065737908494996e+42.

Find the product of all prime factors of 3800.

Factors of 3800 are 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900, 3800. Prime factors are 2, 2, 2, 5, 5, 19. So, the product of all prime factors of 3800 would be 2 x 2 x 2 x 5 x 5 x 19 = 3800.

Can you help Sammy list the factors of 3800 and also find the factor pairs?

Factors of 3800 are 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900, 3800.
Factors of 3800 in pair are (1,3800), (2,1900), (4,950), (5,760), (8,475), (10,380), (19,200), (20,190), (25,152), (38,100), (40,95), (50,76).

Sammy has 3800 blocks and he wants to arrange them in all possible ways to form a rectangle but he doesn't know the technique for doing that, help Sammy in arrangements.

To arrange 3800 blocks in all possible ways to form a rectangle, we need to calculate factors of 3800 in pair. Therefore, factors of 3800 in pair are (1,3800), (2,1900), (4,950), (5,760), (8,475), (10,380), (19,200), (20,190), (25,152), (38,100), (40,95), (50,76)