Factors of 1440 that add upto 76

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Factors of 1440 that add upto 76 are 1, 3, and 72

How to find factors of 1440 that add upto 76

Steps to find factors of 1440 that add upto 76

Find all factors.
Then we find the sum of combinations of factors.
Note down the combination of factors with sum as 76, and read off the answer!

Example: Find factors of 1440 that add upto 76

Sum of 1, 3, and 72 : 1 + 3 + 72 = 76

Hence, factors of 1440 that add upto 76 are 1, 3, and 72.

Steps to find Factors of 1440

Step 1. Find all the numbers that would divide 1440 without leaving any remainder. Starting with the number 1 upto 720 (half of 1440). The number 1 and the number itself are always factors of the given number.

1440 ÷ 1 : Remainder = 0

1440 ÷ 2 : Remainder = 0

1440 ÷ 3 : Remainder = 0

1440 ÷ 4 : Remainder = 0

1440 ÷ 5 : Remainder = 0

1440 ÷ 6 : Remainder = 0

1440 ÷ 8 : Remainder = 0

1440 ÷ 9 : Remainder = 0

1440 ÷ 10 : Remainder = 0

1440 ÷ 12 : Remainder = 0

1440 ÷ 15 : Remainder = 0

1440 ÷ 16 : Remainder = 0

1440 ÷ 18 : Remainder = 0

1440 ÷ 20 : Remainder = 0

1440 ÷ 24 : Remainder = 0

1440 ÷ 30 : Remainder = 0

1440 ÷ 32 : Remainder = 0

1440 ÷ 36 : Remainder = 0

1440 ÷ 40 : Remainder = 0

1440 ÷ 45 : Remainder = 0

1440 ÷ 48 : Remainder = 0

1440 ÷ 60 : Remainder = 0

1440 ÷ 72 : Remainder = 0

1440 ÷ 80 : Remainder = 0

1440 ÷ 90 : Remainder = 0

1440 ÷ 96 : Remainder = 0

1440 ÷ 120 : Remainder = 0

1440 ÷ 144 : Remainder = 0

1440 ÷ 160 : Remainder = 0

1440 ÷ 180 : Remainder = 0

1440 ÷ 240 : Remainder = 0

1440 ÷ 288 : Remainder = 0

1440 ÷ 360 : Remainder = 0

1440 ÷ 480 : Remainder = 0

1440 ÷ 720 : Remainder = 0

1440 ÷ 1440 : Remainder = 0

Hence, Factors of 1440 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, and 1440

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 1440 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, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440 are exact divisors of 1440.

Examples

How many factors are there for 1440?

Factors of 1440 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440.
So there are in total 36 factors.

Raju wishes to write all the prime factors of 1440. Can you assist him in doing the same?

Factors of 1440 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440.
Prime factors of 1440 are 2, 2, 2, 2, 2, 3, 3, 5.

Rustom is wondering to find the factors of 1440 that add upto 76, but is stuck. Assist Rustom in writing the same.

Factors of 1440 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440.
Factors of 1440 that add upto 76 are 1, 3, 72, as 1 + 3 + 72 = 76.

Help Rudolph in finding the product of factors of 1440?

Factors of 1440 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440.
Therefore, product of factors of 1440 is; 1 x 2 x 3 x 4 x 5 x 6 x 8 x 9 x 10 x 12 x 15 x 16 x 18 x 20 x 24 x 30 x 32 x 36 x 40 x 45 x 48 x 60 x 72 x 80 x 90 x 96 x 120 x 144 x 160 x 180 x 240 x 288 x 360 x 480 x 720 x 1440 = 7.088018749850921e+56.

What is the largest factors of 1440?

Factors of 1440 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440. Largest factor f 1440 is 1440.

Help Ashi in writing the negative pair factors of 1440?

Negative factors of 1440 are -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -16, -18, -20, -24, -30, -32, -36, -40, -45, -48, -60, -72, -80, -90, -96, -120, -144, -160, -180, -240, -288, -360, -480, -720, -1440. Hence, factors of 1440 in pair are (-1,-1440), (-2,-720), (-3,-480), (-4,-360), (-5,-288), (-6,-240), (-8,-180), (-9,-160), (-10,-144), (-12,-120), (-15,-96), (-16,-90), (-18,-80), (-20,-72), (-24,-60), (-30,-48), (-32,-45), (-36,-40).

Write the correct prime factorization pattern of 1440?

Correct prime factorization pattern of 1440 is 2⁵ x 3² x 5.