Q: What are the factor combinations of the number 13,738,625?

 A:
Positive:   1 x 137386255 x 274772525 x 549545125 x 109909131 x 104875655 x 20975839 x 163753275 x 4195
Negative: -1 x -13738625-5 x -2747725-25 x -549545-125 x -109909-131 x -104875-655 x -20975-839 x -16375-3275 x -4195


How do I find the factor combinations of the number 13,738,625?

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 13,738,625, 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 13,738,625
-1 -13,738,625

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 13,738,625.

Example:
1 x 13,738,625 = 13,738,625
and
-1 x -13,738,625 = 13,738,625
Notice both answers equal 13,738,625

With that explanation out of the way, let's continue. Next, we take the number 13,738,625 and divide it by 2:

13,738,625 ÷ 2 = 6,869,312.5

If the quotient is a whole number, then 2 and 6,869,312.5 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 13,738,625
-1 -13,738,625

Now, we try dividing 13,738,625 by 3:

13,738,625 ÷ 3 = 4,579,541.6667

If the quotient is a whole number, then 3 and 4,579,541.6667 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 13,738,625
-1 -13,738,625

Let's try dividing by 4:

13,738,625 ÷ 4 = 3,434,656.25

If the quotient is a whole number, then 4 and 3,434,656.25 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 13,738,625
-1 13,738,625
Keep dividing by the next highest number until you cannot divide anymore.

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

15251251316558393,2754,19516,37520,975104,875109,909549,5452,747,72513,738,625
-1-5-25-125-131-655-839-3,275-4,195-16,375-20,975-104,875-109,909-549,545-2,747,725-13,738,625

More Examples

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