Q: What are the factor combinations of the number 107,037,161?

 A:
Positive:   1 x 1070371617 x 1529102311 x 973065177 x 1390093631 x 1696312203 x 485874417 x 242336941 x 15421
Negative: -1 x -107037161-7 x -15291023-11 x -9730651-77 x -1390093-631 x -169631-2203 x -48587-4417 x -24233-6941 x -15421


How do I find the factor combinations of the number 107,037,161?

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 107,037,161, 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.

1 107,037,161
-1 -107,037,161

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 107,037,161.

Example:
1 x 107,037,161 = 107,037,161
and
-1 x -107,037,161 = 107,037,161
Notice both answers equal 107,037,161

With that explanation out of the way, let's continue. Next, we take the number 107,037,161 and divide it by 2:

107,037,161 ÷ 2 = 53,518,580.5

If the quotient is a whole number, then 2 and 53,518,580.5 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:

1 107,037,161
-1 -107,037,161

Now, we try dividing 107,037,161 by 3:

107,037,161 ÷ 3 = 35,679,053.6667

If the quotient is a whole number, then 3 and 35,679,053.6667 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:

1 107,037,161
-1 -107,037,161

Let's try dividing by 4:

107,037,161 ÷ 4 = 26,759,290.25

If the quotient is a whole number, then 4 and 26,759,290.25 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:

1 107,037,161
-1 107,037,161
Keep dividing by the next highest number until you cannot divide anymore.

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

1711776312,2034,4176,94115,42124,23348,587169,6311,390,0939,730,65115,291,023107,037,161
-1-7-11-77-631-2,203-4,417-6,941-15,421-24,233-48,587-169,631-1,390,093-9,730,651-15,291,023-107,037,161

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