Q: What are the factor combinations of the number 108,922,435?

 A:
Positive:   1 x 1089224355 x 2178448779 x 1378765313 x 347995395 x 275753881 x 1236351565 x 695994405 x 24727
Negative: -1 x -108922435-5 x -21784487-79 x -1378765-313 x -347995-395 x -275753-881 x -123635-1565 x -69599-4405 x -24727


How do I find the factor combinations of the number 108,922,435?

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 108,922,435, 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.

1 108,922,435
-1 -108,922,435

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 108,922,435.

Example:
1 x 108,922,435 = 108,922,435
and
-1 x -108,922,435 = 108,922,435
Notice both answers equal 108,922,435

With that explanation out of the way, let's continue. Next, we take the number 108,922,435 and divide it by 2:

108,922,435 ÷ 2 = 54,461,217.5

If the quotient is a whole number, then 2 and 54,461,217.5 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:

1 108,922,435
-1 -108,922,435

Now, we try dividing 108,922,435 by 3:

108,922,435 ÷ 3 = 36,307,478.3333

If the quotient is a whole number, then 3 and 36,307,478.3333 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:

1 108,922,435
-1 -108,922,435

Let's try dividing by 4:

108,922,435 ÷ 4 = 27,230,608.75

If the quotient is a whole number, then 4 and 27,230,608.75 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:

1 108,922,435
-1 108,922,435
Keep dividing by the next highest number until you cannot divide anymore.

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

15793133958811,5654,40524,72769,599123,635275,753347,9951,378,76521,784,487108,922,435
-1-5-79-313-395-881-1,565-4,405-24,727-69,599-123,635-275,753-347,995-1,378,765-21,784,487-108,922,435

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