Factors of 1560 that add upto 41

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Factors of 1560 that add upto 41 are 1 and 40

How to find factors of 1560 that add upto 41

Steps to find factors of 1560 that add upto 41

Find all factors.
Then we find the sum of combinations of factors.
Note down the combination of factors with sum as 41, and read off the answer!

Example: Find factors of 1560 that add upto 41

Sum of 1 and 40 : 1 + 40 = 41

Hence, factors of 1560 that add upto 41 are 1 and 40.

Steps to find Factors of 1560

Step 1. Find all the numbers that would divide 1560 without leaving any remainder. Starting with the number 1 upto 780 (half of 1560). The number 1 and the number itself are always factors of the given number.

1560 ÷ 1 : Remainder = 0

1560 ÷ 2 : Remainder = 0

1560 ÷ 3 : Remainder = 0

1560 ÷ 4 : Remainder = 0

1560 ÷ 5 : Remainder = 0

1560 ÷ 6 : Remainder = 0

1560 ÷ 8 : Remainder = 0

1560 ÷ 10 : Remainder = 0

1560 ÷ 12 : Remainder = 0

1560 ÷ 13 : Remainder = 0

1560 ÷ 15 : Remainder = 0

1560 ÷ 20 : Remainder = 0

1560 ÷ 24 : Remainder = 0

1560 ÷ 26 : Remainder = 0

1560 ÷ 30 : Remainder = 0

1560 ÷ 39 : Remainder = 0

1560 ÷ 40 : Remainder = 0

1560 ÷ 52 : Remainder = 0

1560 ÷ 60 : Remainder = 0

1560 ÷ 65 : Remainder = 0

1560 ÷ 78 : Remainder = 0

1560 ÷ 104 : Remainder = 0

1560 ÷ 120 : Remainder = 0

1560 ÷ 130 : Remainder = 0

1560 ÷ 156 : Remainder = 0

1560 ÷ 195 : Remainder = 0

1560 ÷ 260 : Remainder = 0

1560 ÷ 312 : Remainder = 0

1560 ÷ 390 : Remainder = 0

1560 ÷ 520 : Remainder = 0

1560 ÷ 780 : Remainder = 0

1560 ÷ 1560 : Remainder = 0

Hence, Factors of 1560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, and 1560

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 1560 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, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560 are exact divisors of 1560.

Examples

How many factors are there for 1560?

Factors of 1560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560.
So there are in total 32 factors.

Raju wishes to write all the prime factors of 1560. Can you assist him in doing the same?

Factors of 1560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560.
Prime factors of 1560 are 2, 2, 2, 3, 5, 13.

Can you assist Aubrey in finding factors of 1560 that add upto 41?

Factors of 1560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560.
Factors of 1560 that add upto 41 are 1, 40, as 1 + 40 = 41.

Can you help Diji in finding sum of all even factors of 1560?

Factors of 1560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560.
Even factors of 1560 are 2, 4, 6, 8, 10, 12, 20, 24, 26, 30, 40, 52, 60, 78, 104, 120, 130, 156, 260, 312, 390, 520, 780, 1560.
Hence, sum of even factors of 1560 is; 2 + 4 + 6 + 8 + 10 + 12 + 20 + 24 + 26 + 30 + 40 + 52 + 60 + 78 + 104 + 120 + 130 + 156 + 260 + 312 + 390 + 520 + 780 + 1560 = 4704.

Help Ashi in writing the negative pair factors of 1560?

Negative factors of 1560 are -1, -2, -3, -4, -5, -6, -8, -10, -12, -13, -15, -20, -24, -26, -30, -39, -40, -52, -60, -65, -78, -104, -120, -130, -156, -195, -260, -312, -390, -520, -780, -1560. Hence, factors of 1560 in pair are (-1,-1560), (-2,-780), (-3,-520), (-4,-390), (-5,-312), (-6,-260), (-8,-195), (-10,-156), (-12,-130), (-13,-120), (-15,-104), (-20,-78), (-24,-65), (-26,-60), (-30,-52), (-39,-40).

Rubel's teacher has asked her to find the factors of 1560 and to write the positive factors and negative factors of 1560. But she doesn't know how to get started help Rubel in finding the same.

Positive factors of 1560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560. Negative factors of 1560 are -1, -2, -3, -4, -5, -6, -8, -10, -12, -13, -15, -20, -24, -26, -30, -39, -40, -52, -60, -65, -78, -104, -120, -130, -156, -195, -260, -312, -390, -520, -780, -1560.

Write the correct prime factorization pattern of 1560?

Correct prime factorization pattern of 1560 is 2³ x 3 x 5 x 13.