Q: What are the factor combinations of the number 13,471,375?

 A:
Positive:   1 x 134713755 x 269427525 x 53885547 x 286625125 x 107771235 x 573251175 x 114652293 x 5875
Negative: -1 x -13471375-5 x -2694275-25 x -538855-47 x -286625-125 x -107771-235 x -57325-1175 x -11465-2293 x -5875


How do I find the factor combinations of the number 13,471,375?

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 13,471,375, 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 13,471,375
-1 -13,471,375

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 13,471,375.

Example:
1 x 13,471,375 = 13,471,375
and
-1 x -13,471,375 = 13,471,375
Notice both answers equal 13,471,375

With that explanation out of the way, let's continue. Next, we take the number 13,471,375 and divide it by 2:

13,471,375 ÷ 2 = 6,735,687.5

If the quotient is a whole number, then 2 and 6,735,687.5 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 13,471,375
-1 -13,471,375

Now, we try dividing 13,471,375 by 3:

13,471,375 ÷ 3 = 4,490,458.3333

If the quotient is a whole number, then 3 and 4,490,458.3333 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 13,471,375
-1 -13,471,375

Let's try dividing by 4:

13,471,375 ÷ 4 = 3,367,843.75

If the quotient is a whole number, then 4 and 3,367,843.75 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 13,471,375
-1 13,471,375
Keep dividing by the next highest number until you cannot divide anymore.

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

1525471252351,1752,2935,87511,46557,325107,771286,625538,8552,694,27513,471,375
-1-5-25-47-125-235-1,175-2,293-5,875-11,465-57,325-107,771-286,625-538,855-2,694,275-13,471,375

More Examples

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