Q: What are the factor combinations of the number 111,315,425?

 A:
Positive:   1 x 1113154255 x 2226308513 x 856272525 x 445261737 x 300852565 x 1712545185 x 601705325 x 342509481 x 231425925 x 1203412405 x 462859257 x 12025
Negative: -1 x -111315425-5 x -22263085-13 x -8562725-25 x -4452617-37 x -3008525-65 x -1712545-185 x -601705-325 x -342509-481 x -231425-925 x -120341-2405 x -46285-9257 x -12025


How do I find the factor combinations of the number 111,315,425?

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 111,315,425, 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.

1 111,315,425
-1 -111,315,425

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 111,315,425.

Example:
1 x 111,315,425 = 111,315,425
and
-1 x -111,315,425 = 111,315,425
Notice both answers equal 111,315,425

With that explanation out of the way, let's continue. Next, we take the number 111,315,425 and divide it by 2:

111,315,425 ÷ 2 = 55,657,712.5

If the quotient is a whole number, then 2 and 55,657,712.5 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:

1 111,315,425
-1 -111,315,425

Now, we try dividing 111,315,425 by 3:

111,315,425 ÷ 3 = 37,105,141.6667

If the quotient is a whole number, then 3 and 37,105,141.6667 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:

1 111,315,425
-1 -111,315,425

Let's try dividing by 4:

111,315,425 ÷ 4 = 27,828,856.25

If the quotient is a whole number, then 4 and 27,828,856.25 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:

1 111,315,425
-1 111,315,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15132537651853254819252,4059,25712,02546,285120,341231,425342,509601,7051,712,5453,008,5254,452,6178,562,72522,263,085111,315,425
-1-5-13-25-37-65-185-325-481-925-2,405-9,257-12,025-46,285-120,341-231,425-342,509-601,705-1,712,545-3,008,525-4,452,617-8,562,725-22,263,085-111,315,425

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