Q: What are the factor combinations of the number 109,140,815?

 A:
Positive:   1 x 1091408155 x 218281637 x 1559154535 x 311830947 x 2322145235 x 464429329 x 3317351645 x 66347
Negative: -1 x -109140815-5 x -21828163-7 x -15591545-35 x -3118309-47 x -2322145-235 x -464429-329 x -331735-1645 x -66347


How do I find the factor combinations of the number 109,140,815?

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 109,140,815, 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.

1 109,140,815
-1 -109,140,815

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 109,140,815.

Example:
1 x 109,140,815 = 109,140,815
and
-1 x -109,140,815 = 109,140,815
Notice both answers equal 109,140,815

With that explanation out of the way, let's continue. Next, we take the number 109,140,815 and divide it by 2:

109,140,815 ÷ 2 = 54,570,407.5

If the quotient is a whole number, then 2 and 54,570,407.5 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:

1 109,140,815
-1 -109,140,815

Now, we try dividing 109,140,815 by 3:

109,140,815 ÷ 3 = 36,380,271.6667

If the quotient is a whole number, then 3 and 36,380,271.6667 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:

1 109,140,815
-1 -109,140,815

Let's try dividing by 4:

109,140,815 ÷ 4 = 27,285,203.75

If the quotient is a whole number, then 4 and 27,285,203.75 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:

1 109,140,815
-1 109,140,815
Keep dividing by the next highest number until you cannot divide anymore.

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

15735472353291,64566,347331,735464,4292,322,1453,118,30915,591,54521,828,163109,140,815
-1-5-7-35-47-235-329-1,645-66,347-331,735-464,429-2,322,145-3,118,309-15,591,545-21,828,163-109,140,815

More Examples

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