Q: What are the factor combinations of the number 263,375?

 A:
Positive:   1 x 2633755 x 526757 x 3762525 x 1053535 x 752543 x 612549 x 5375125 x 2107175 x 1505215 x 1225245 x 1075301 x 875
Negative: -1 x -263375-5 x -52675-7 x -37625-25 x -10535-35 x -7525-43 x -6125-49 x -5375-125 x -2107-175 x -1505-215 x -1225-245 x -1075-301 x -875


How do I find the factor combinations of the number 263,375?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 263,375, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 263,375
-1 -263,375

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 263,375.

Example:
1 x 263,375 = 263,375
and
-1 x -263,375 = 263,375
Notice both answers equal 263,375

With that explanation out of the way, let's continue. Next, we take the number 263,375 and divide it by 2:

263,375 ÷ 2 = 131,687.5

If the quotient is a whole number, then 2 and 131,687.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 263,375
-1 -263,375

Now, we try dividing 263,375 by 3:

263,375 ÷ 3 = 87,791.6667

If the quotient is a whole number, then 3 and 87,791.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 263,375
-1 -263,375

Let's try dividing by 4:

263,375 ÷ 4 = 65,843.75

If the quotient is a whole number, then 4 and 65,843.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 263,375
-1 263,375
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

157253543491251752152453018751,0751,2251,5052,1075,3756,1257,52510,53537,62552,675263,375
-1-5-7-25-35-43-49-125-175-215-245-301-875-1,075-1,225-1,505-2,107-5,375-6,125-7,525-10,535-37,625-52,675-263,375

More Examples

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