Q: What are the factor combinations of the number 100,847,345?

 A:
Positive:   1 x 1008473455 x 2016946919 x 530775595 x 1061551109 x 925205545 x 1850412071 x 486959739 x 10355
Negative: -1 x -100847345-5 x -20169469-19 x -5307755-95 x -1061551-109 x -925205-545 x -185041-2071 x -48695-9739 x -10355


How do I find the factor combinations of the number 100,847,345?

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 100,847,345, 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.

1 100,847,345
-1 -100,847,345

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 100,847,345.

Example:
1 x 100,847,345 = 100,847,345
and
-1 x -100,847,345 = 100,847,345
Notice both answers equal 100,847,345

With that explanation out of the way, let's continue. Next, we take the number 100,847,345 and divide it by 2:

100,847,345 ÷ 2 = 50,423,672.5

If the quotient is a whole number, then 2 and 50,423,672.5 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:

1 100,847,345
-1 -100,847,345

Now, we try dividing 100,847,345 by 3:

100,847,345 ÷ 3 = 33,615,781.6667

If the quotient is a whole number, then 3 and 33,615,781.6667 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:

1 100,847,345
-1 -100,847,345

Let's try dividing by 4:

100,847,345 ÷ 4 = 25,211,836.25

If the quotient is a whole number, then 4 and 25,211,836.25 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:

1 100,847,345
-1 100,847,345
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951095452,0719,73910,35548,695185,041925,2051,061,5515,307,75520,169,469100,847,345
-1-5-19-95-109-545-2,071-9,739-10,355-48,695-185,041-925,205-1,061,551-5,307,755-20,169,469-100,847,345

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