Factors of 2400 that add upto 200

Go back to 'All factors of a number that add upto pages' >

Factors of 2400 that add upto 200 are 2, 6, 32, and 160

How to find factors of 2400 that add upto 200

Steps to find factors of 2400 that add upto 200

Find all factors.
Then we find the sum of combinations of factors.
Note down the combination of factors with sum as 200, and read off the answer!

Example: Find factors of 2400 that add upto 200

Sum of 2, 6, 32, and 160 : 2 + 6 + 32 + 160 = 200

Hence, factors of 2400 that add upto 200 are 2, 6, 32, and 160.

Steps to find Factors of 2400

Step 1. Find all the numbers that would divide 2400 without leaving any remainder. Starting with the number 1 upto 1200 (half of 2400). The number 1 and the number itself are always factors of the given number.

2400 ÷ 1 : Remainder = 0

2400 ÷ 2 : Remainder = 0

2400 ÷ 3 : Remainder = 0

2400 ÷ 4 : Remainder = 0

2400 ÷ 5 : Remainder = 0

2400 ÷ 6 : Remainder = 0

2400 ÷ 8 : Remainder = 0

2400 ÷ 10 : Remainder = 0

2400 ÷ 12 : Remainder = 0

2400 ÷ 15 : Remainder = 0

2400 ÷ 16 : Remainder = 0

2400 ÷ 20 : Remainder = 0

2400 ÷ 24 : Remainder = 0

2400 ÷ 25 : Remainder = 0

2400 ÷ 30 : Remainder = 0

2400 ÷ 32 : Remainder = 0

2400 ÷ 40 : Remainder = 0

2400 ÷ 48 : Remainder = 0

2400 ÷ 50 : Remainder = 0

2400 ÷ 60 : Remainder = 0

2400 ÷ 75 : Remainder = 0

2400 ÷ 80 : Remainder = 0

2400 ÷ 96 : Remainder = 0

2400 ÷ 100 : Remainder = 0

2400 ÷ 120 : Remainder = 0

2400 ÷ 150 : Remainder = 0

2400 ÷ 160 : Remainder = 0

2400 ÷ 200 : Remainder = 0

2400 ÷ 240 : Remainder = 0

2400 ÷ 300 : Remainder = 0

2400 ÷ 400 : Remainder = 0

2400 ÷ 480 : Remainder = 0

2400 ÷ 600 : Remainder = 0

2400 ÷ 800 : Remainder = 0

2400 ÷ 1200 : Remainder = 0

2400 ÷ 2400 : Remainder = 0

Hence, Factors of 2400 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, and 2400

What are factors?

In mathematics, the term factor is used for that number which divides the other number to leave 0 as a remainder. A factor of a number can be positive or negative.

Properties of Factors

Factors and multiples are two different terms. Factors are those number which when multiplied together give the number itself, on the other hand multiples are what we get after multiplying the same number with and other number.
Prime factors are those factors which are further divisible by only two numbers i.e. 1 ans the factor itself.
Every number is a factor of zero (0), since 2400 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, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400 are exact divisors of 2400.

Examples

How many factors are there for 2400?

Factors of 2400 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400.
So there are in total 36 factors.

Raju wishes to write all the prime factors of 2400. Can you assist him in doing the same?

Factors of 2400 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400.
Prime factors of 2400 are 2, 2, 2, 2, 2, 3, 5, 5.

Can you assist Aubrey in finding factors of 2400 that add upto 200?

Factors of 2400 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400.
Factors of 2400 that add upto 200 are 2, 6, 32, 160, as 2 + 6 + 32 + 160 = 200.

Can you help Diji in finding sum of all even factors of 2400?

Factors of 2400 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400.
Even factors of 2400 are 2, 4, 6, 8, 10, 12, 16, 20, 24, 30, 32, 40, 48, 50, 60, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400.
Hence, sum of even factors of 2400 is; 2 + 4 + 6 + 8 + 10 + 12 + 16 + 20 + 24 + 30 + 32 + 40 + 48 + 50 + 60 + 80 + 96 + 100 + 120 + 150 + 160 + 200 + 240 + 300 + 400 + 480 + 600 + 800 + 1200 + 2400 = 7688.

Help Ashi in writing the negative pair factors of 2400?

Negative factors of 2400 are -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -16, -20, -24, -25, -30, -32, -40, -48, -50, -60, -75, -80, -96, -100, -120, -150, -160, -200, -240, -300, -400, -480, -600, -800, -1200, -2400. Hence, factors of 2400 in pair are (-1,-2400), (-2,-1200), (-3,-800), (-4,-600), (-5,-480), (-6,-400), (-8,-300), (-10,-240), (-12,-200), (-15,-160), (-16,-150), (-20,-120), (-24,-100), (-25,-96), (-30,-80), (-32,-75), (-40,-60), (-48,-50).

Rubel's teacher has asked her to find the factors of 2400 and to write the positive factors and negative factors of 2400. But she doesn't know how to get started help Rubel in finding the same.

Positive factors of 2400 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400. Negative factors of 2400 are -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -16, -20, -24, -25, -30, -32, -40, -48, -50, -60, -75, -80, -96, -100, -120, -150, -160, -200, -240, -300, -400, -480, -600, -800, -1200, -2400.

Write the correct prime factorization pattern of 2400?

Correct prime factorization pattern of 2400 is 2⁵ x 3 x 5².