Q: What are the factor combinations of the number 14,037,875?

 A:
Positive:   1 x 140378755 x 280757525 x 561515125 x 112303
Negative: -1 x -14037875-5 x -2807575-25 x -561515-125 x -112303


How do I find the factor combinations of the number 14,037,875?

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 14,037,875, 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 14,037,875
-1 -14,037,875

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 14,037,875.

Example:
1 x 14,037,875 = 14,037,875
and
-1 x -14,037,875 = 14,037,875
Notice both answers equal 14,037,875

With that explanation out of the way, let's continue. Next, we take the number 14,037,875 and divide it by 2:

14,037,875 ÷ 2 = 7,018,937.5

If the quotient is a whole number, then 2 and 7,018,937.5 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 14,037,875
-1 -14,037,875

Now, we try dividing 14,037,875 by 3:

14,037,875 ÷ 3 = 4,679,291.6667

If the quotient is a whole number, then 3 and 4,679,291.6667 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 14,037,875
-1 -14,037,875

Let's try dividing by 4:

14,037,875 ÷ 4 = 3,509,468.75

If the quotient is a whole number, then 4 and 3,509,468.75 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 14,037,875
-1 14,037,875
Keep dividing by the next highest number until you cannot divide anymore.

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

1525125112,303561,5152,807,57514,037,875
-1-5-25-125-112,303-561,515-2,807,575-14,037,875

More Examples

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