Q: What are the factor combinations of the number 15,141,625?

 A:
Positive:   1 x 151416255 x 302832525 x 60566529 x 522125125 x 121133145 x 104425725 x 208853625 x 4177
Negative: -1 x -15141625-5 x -3028325-25 x -605665-29 x -522125-125 x -121133-145 x -104425-725 x -20885-3625 x -4177


How do I find the factor combinations of the number 15,141,625?

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 15,141,625, 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 15,141,625
-1 -15,141,625

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 15,141,625.

Example:
1 x 15,141,625 = 15,141,625
and
-1 x -15,141,625 = 15,141,625
Notice both answers equal 15,141,625

With that explanation out of the way, let's continue. Next, we take the number 15,141,625 and divide it by 2:

15,141,625 ÷ 2 = 7,570,812.5

If the quotient is a whole number, then 2 and 7,570,812.5 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 15,141,625
-1 -15,141,625

Now, we try dividing 15,141,625 by 3:

15,141,625 ÷ 3 = 5,047,208.3333

If the quotient is a whole number, then 3 and 5,047,208.3333 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 15,141,625
-1 -15,141,625

Let's try dividing by 4:

15,141,625 ÷ 4 = 3,785,406.25

If the quotient is a whole number, then 4 and 3,785,406.25 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 15,141,625
-1 15,141,625
Keep dividing by the next highest number until you cannot divide anymore.

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

1525291251457253,6254,17720,885104,425121,133522,125605,6653,028,32515,141,625
-1-5-25-29-125-145-725-3,625-4,177-20,885-104,425-121,133-522,125-605,665-3,028,325-15,141,625

More Examples

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