Q: What are the factor combinations of the number 14,355,125?

 A:
Positive:   1 x 143551255 x 287102525 x 57420541 x 350125125 x 114841205 x 700251025 x 140052801 x 5125
Negative: -1 x -14355125-5 x -2871025-25 x -574205-41 x -350125-125 x -114841-205 x -70025-1025 x -14005-2801 x -5125


How do I find the factor combinations of the number 14,355,125?

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 14,355,125, 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 14,355,125
-1 -14,355,125

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 14,355,125.

Example:
1 x 14,355,125 = 14,355,125
and
-1 x -14,355,125 = 14,355,125
Notice both answers equal 14,355,125

With that explanation out of the way, let's continue. Next, we take the number 14,355,125 and divide it by 2:

14,355,125 ÷ 2 = 7,177,562.5

If the quotient is a whole number, then 2 and 7,177,562.5 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 14,355,125
-1 -14,355,125

Now, we try dividing 14,355,125 by 3:

14,355,125 ÷ 3 = 4,785,041.6667

If the quotient is a whole number, then 3 and 4,785,041.6667 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 14,355,125
-1 -14,355,125

Let's try dividing by 4:

14,355,125 ÷ 4 = 3,588,781.25

If the quotient is a whole number, then 4 and 3,588,781.25 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 14,355,125
-1 14,355,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1525411252051,0252,8015,12514,00570,025114,841350,125574,2052,871,02514,355,125
-1-5-25-41-125-205-1,025-2,801-5,125-14,005-70,025-114,841-350,125-574,205-2,871,025-14,355,125

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