Q: What are the factor combinations of the number 15,648,625?

 A:
Positive:   1 x 156486255 x 312972523 x 68037525 x 625945115 x 136075125 x 125189575 x 272152875 x 5443
Negative: -1 x -15648625-5 x -3129725-23 x -680375-25 x -625945-115 x -136075-125 x -125189-575 x -27215-2875 x -5443


How do I find the factor combinations of the number 15,648,625?

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 15,648,625, 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 15,648,625
-1 -15,648,625

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 15,648,625.

Example:
1 x 15,648,625 = 15,648,625
and
-1 x -15,648,625 = 15,648,625
Notice both answers equal 15,648,625

With that explanation out of the way, let's continue. Next, we take the number 15,648,625 and divide it by 2:

15,648,625 ÷ 2 = 7,824,312.5

If the quotient is a whole number, then 2 and 7,824,312.5 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 15,648,625
-1 -15,648,625

Now, we try dividing 15,648,625 by 3:

15,648,625 ÷ 3 = 5,216,208.3333

If the quotient is a whole number, then 3 and 5,216,208.3333 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 15,648,625
-1 -15,648,625

Let's try dividing by 4:

15,648,625 ÷ 4 = 3,912,156.25

If the quotient is a whole number, then 4 and 3,912,156.25 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 15,648,625
-1 15,648,625
Keep dividing by the next highest number until you cannot divide anymore.

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

1523251151255752,8755,44327,215125,189136,075625,945680,3753,129,72515,648,625
-1-5-23-25-115-125-575-2,875-5,443-27,215-125,189-136,075-625,945-680,375-3,129,725-15,648,625

More Examples

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