Factors of 1200 that add upto 75

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Factors of 1200 that add upto 75 are 1, 2, 12, and 60

How to find factors of 1200 that add upto 75

Steps to find factors of 1200 that add upto 75

Find all factors.
Then we find the sum of combinations of factors.
Note down the combination of factors with sum as 75, and read off the answer!

Example: Find factors of 1200 that add upto 75

Sum of 1, 2, 12, and 60 : 1 + 2 + 12 + 60 = 75

Hence, factors of 1200 that add upto 75 are 1, 2, 12, and 60.

Steps to find Factors of 1200

Step 1. Find all the numbers that would divide 1200 without leaving any remainder. Starting with the number 1 upto 600 (half of 1200). The number 1 and the number itself are always factors of the given number.

1200 ÷ 1 : Remainder = 0

1200 ÷ 2 : Remainder = 0

1200 ÷ 3 : Remainder = 0

1200 ÷ 4 : Remainder = 0

1200 ÷ 5 : Remainder = 0

1200 ÷ 6 : Remainder = 0

1200 ÷ 8 : Remainder = 0

1200 ÷ 10 : Remainder = 0

1200 ÷ 12 : Remainder = 0

1200 ÷ 15 : Remainder = 0

1200 ÷ 16 : Remainder = 0

1200 ÷ 20 : Remainder = 0

1200 ÷ 24 : Remainder = 0

1200 ÷ 25 : Remainder = 0

1200 ÷ 30 : Remainder = 0

1200 ÷ 40 : Remainder = 0

1200 ÷ 48 : Remainder = 0

1200 ÷ 50 : Remainder = 0

1200 ÷ 60 : Remainder = 0

1200 ÷ 75 : Remainder = 0

1200 ÷ 80 : Remainder = 0

1200 ÷ 100 : Remainder = 0

1200 ÷ 120 : Remainder = 0

1200 ÷ 150 : Remainder = 0

1200 ÷ 200 : Remainder = 0

1200 ÷ 240 : Remainder = 0

1200 ÷ 300 : Remainder = 0

1200 ÷ 400 : Remainder = 0

1200 ÷ 600 : Remainder = 0

1200 ÷ 1200 : Remainder = 0

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

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 1200 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, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1200 are exact divisors of 1200.

Examples

How many factors are there for 1200?

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

Raju wishes to write all the prime factors of 1200. Can you assist him in doing the same?

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

Rustom is wondering to find the factors of 1200 that add upto 75, but is stuck. Assist Rustom in writing the same.

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

Help Andy in writing even prime factors of 1200.

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

What is the largest factors of 1200?

Factors of 1200 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1200. Largest factor f 1200 is 1200.

Sammy is puzzled while calculating the prime factors of 1200. Can you help him find them?

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

Help Ashi in writing the negative pair factors of 1200?

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