Q: What are the factor combinations of the number 13,801,625?

 A:
Positive:   1 x 138016255 x 276032525 x 55206541 x 336625125 x 110413205 x 673251025 x 134652693 x 5125
Negative: -1 x -13801625-5 x -2760325-25 x -552065-41 x -336625-125 x -110413-205 x -67325-1025 x -13465-2693 x -5125


How do I find the factor combinations of the number 13,801,625?

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 13,801,625, 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 13,801,625
-1 -13,801,625

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 13,801,625.

Example:
1 x 13,801,625 = 13,801,625
and
-1 x -13,801,625 = 13,801,625
Notice both answers equal 13,801,625

With that explanation out of the way, let's continue. Next, we take the number 13,801,625 and divide it by 2:

13,801,625 ÷ 2 = 6,900,812.5

If the quotient is a whole number, then 2 and 6,900,812.5 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 13,801,625
-1 -13,801,625

Now, we try dividing 13,801,625 by 3:

13,801,625 ÷ 3 = 4,600,541.6667

If the quotient is a whole number, then 3 and 4,600,541.6667 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 13,801,625
-1 -13,801,625

Let's try dividing by 4:

13,801,625 ÷ 4 = 3,450,406.25

If the quotient is a whole number, then 4 and 3,450,406.25 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 13,801,625
-1 13,801,625
Keep dividing by the next highest number until you cannot divide anymore.

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

1525411252051,0252,6935,12513,46567,325110,413336,625552,0652,760,32513,801,625
-1-5-25-41-125-205-1,025-2,693-5,125-13,465-67,325-110,413-336,625-552,065-2,760,325-13,801,625

More Examples

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