Q: What are the factor combinations of the number 10,994,425?

 A:
Positive:   1 x 109944255 x 219888513 x 84572525 x 43977765 x 169145325 x 33829
Negative: -1 x -10994425-5 x -2198885-13 x -845725-25 x -439777-65 x -169145-325 x -33829


How do I find the factor combinations of the number 10,994,425?

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 10,994,425, 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 10,994,425
-1 -10,994,425

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 10,994,425.

Example:
1 x 10,994,425 = 10,994,425
and
-1 x -10,994,425 = 10,994,425
Notice both answers equal 10,994,425

With that explanation out of the way, let's continue. Next, we take the number 10,994,425 and divide it by 2:

10,994,425 ÷ 2 = 5,497,212.5

If the quotient is a whole number, then 2 and 5,497,212.5 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 10,994,425
-1 -10,994,425

Now, we try dividing 10,994,425 by 3:

10,994,425 ÷ 3 = 3,664,808.3333

If the quotient is a whole number, then 3 and 3,664,808.3333 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 10,994,425
-1 -10,994,425

Let's try dividing by 4:

10,994,425 ÷ 4 = 2,748,606.25

If the quotient is a whole number, then 4 and 2,748,606.25 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 10,994,425
-1 10,994,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1513256532533,829169,145439,777845,7252,198,88510,994,425
-1-5-13-25-65-325-33,829-169,145-439,777-845,725-2,198,885-10,994,425

More Examples

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