Q: What are the factor combinations of the number 207,056,107?

 A:
Positive:   1 x 20705610717 x 1217977137 x 559611153 x 3906719629 x 329183901 x 2298071961 x 1055876211 x 33337
Negative: -1 x -207056107-17 x -12179771-37 x -5596111-53 x -3906719-629 x -329183-901 x -229807-1961 x -105587-6211 x -33337


How do I find the factor combinations of the number 207,056,107?

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 207,056,107, 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.

1 207,056,107
-1 -207,056,107

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 207,056,107.

Example:
1 x 207,056,107 = 207,056,107
and
-1 x -207,056,107 = 207,056,107
Notice both answers equal 207,056,107

With that explanation out of the way, let's continue. Next, we take the number 207,056,107 and divide it by 2:

207,056,107 ÷ 2 = 103,528,053.5

If the quotient is a whole number, then 2 and 103,528,053.5 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:

1 207,056,107
-1 -207,056,107

Now, we try dividing 207,056,107 by 3:

207,056,107 ÷ 3 = 69,018,702.3333

If the quotient is a whole number, then 3 and 69,018,702.3333 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:

1 207,056,107
-1 -207,056,107

Let's try dividing by 4:

207,056,107 ÷ 4 = 51,764,026.75

If the quotient is a whole number, then 4 and 51,764,026.75 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:

1 207,056,107
-1 207,056,107
Keep dividing by the next highest number until you cannot divide anymore.

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

11737536299011,9616,21133,337105,587229,807329,1833,906,7195,596,11112,179,771207,056,107
-1-17-37-53-629-901-1,961-6,211-33,337-105,587-229,807-329,183-3,906,719-5,596,111-12,179,771-207,056,107

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