Q: What are the factor combinations of the number 207,101,765?

 A:
Positive:   1 x 2071017655 x 4142035313 x 1593090537 x 559734565 x 3186181185 x 1119469481 x 4305652405 x 86113
Negative: -1 x -207101765-5 x -41420353-13 x -15930905-37 x -5597345-65 x -3186181-185 x -1119469-481 x -430565-2405 x -86113


How do I find the factor combinations of the number 207,101,765?

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 207,101,765, 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.

1 207,101,765
-1 -207,101,765

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 207,101,765.

Example:
1 x 207,101,765 = 207,101,765
and
-1 x -207,101,765 = 207,101,765
Notice both answers equal 207,101,765

With that explanation out of the way, let's continue. Next, we take the number 207,101,765 and divide it by 2:

207,101,765 ÷ 2 = 103,550,882.5

If the quotient is a whole number, then 2 and 103,550,882.5 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:

1 207,101,765
-1 -207,101,765

Now, we try dividing 207,101,765 by 3:

207,101,765 ÷ 3 = 69,033,921.6667

If the quotient is a whole number, then 3 and 69,033,921.6667 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:

1 207,101,765
-1 -207,101,765

Let's try dividing by 4:

207,101,765 ÷ 4 = 51,775,441.25

If the quotient is a whole number, then 4 and 51,775,441.25 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:

1 207,101,765
-1 207,101,765
Keep dividing by the next highest number until you cannot divide anymore.

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

151337651854812,40586,113430,5651,119,4693,186,1815,597,34515,930,90541,420,353207,101,765
-1-5-13-37-65-185-481-2,405-86,113-430,565-1,119,469-3,186,181-5,597,345-15,930,905-41,420,353-207,101,765

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