Q: What are the factor combinations of the number 14,856,725?

 A:
Positive:   1 x 148567255 x 297134513 x 114282517 x 87392525 x 59426965 x 22856585 x 174785221 x 67225325 x 45713425 x 349571105 x 134452689 x 5525
Negative: -1 x -14856725-5 x -2971345-13 x -1142825-17 x -873925-25 x -594269-65 x -228565-85 x -174785-221 x -67225-325 x -45713-425 x -34957-1105 x -13445-2689 x -5525


How do I find the factor combinations of the number 14,856,725?

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 14,856,725, 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 14,856,725
-1 -14,856,725

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 14,856,725.

Example:
1 x 14,856,725 = 14,856,725
and
-1 x -14,856,725 = 14,856,725
Notice both answers equal 14,856,725

With that explanation out of the way, let's continue. Next, we take the number 14,856,725 and divide it by 2:

14,856,725 ÷ 2 = 7,428,362.5

If the quotient is a whole number, then 2 and 7,428,362.5 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 14,856,725
-1 -14,856,725

Now, we try dividing 14,856,725 by 3:

14,856,725 ÷ 3 = 4,952,241.6667

If the quotient is a whole number, then 3 and 4,952,241.6667 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 14,856,725
-1 -14,856,725

Let's try dividing by 4:

14,856,725 ÷ 4 = 3,714,181.25

If the quotient is a whole number, then 4 and 3,714,181.25 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 14,856,725
-1 14,856,725
Keep dividing by the next highest number until you cannot divide anymore.

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

1513172565852213254251,1052,6895,52513,44534,95745,71367,225174,785228,565594,269873,9251,142,8252,971,34514,856,725
-1-5-13-17-25-65-85-221-325-425-1,105-2,689-5,525-13,445-34,957-45,713-67,225-174,785-228,565-594,269-873,925-1,142,825-2,971,345-14,856,725

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