Q: What are the factor combinations of the number 206,636,143?

 A:
Positive:   1 x 2066361437 x 295194492333 x 8857112653 x 16331
Negative: -1 x -206636143-7 x -29519449-2333 x -88571-12653 x -16331


How do I find the factor combinations of the number 206,636,143?

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 206,636,143, 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.

1 206,636,143
-1 -206,636,143

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 206,636,143.

Example:
1 x 206,636,143 = 206,636,143
and
-1 x -206,636,143 = 206,636,143
Notice both answers equal 206,636,143

With that explanation out of the way, let's continue. Next, we take the number 206,636,143 and divide it by 2:

206,636,143 ÷ 2 = 103,318,071.5

If the quotient is a whole number, then 2 and 103,318,071.5 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:

1 206,636,143
-1 -206,636,143

Now, we try dividing 206,636,143 by 3:

206,636,143 ÷ 3 = 68,878,714.3333

If the quotient is a whole number, then 3 and 68,878,714.3333 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:

1 206,636,143
-1 -206,636,143

Let's try dividing by 4:

206,636,143 ÷ 4 = 51,659,035.75

If the quotient is a whole number, then 4 and 51,659,035.75 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:

1 206,636,143
-1 206,636,143
Keep dividing by the next highest number until you cannot divide anymore.

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

172,33312,65316,33188,57129,519,449206,636,143
-1-7-2,333-12,653-16,331-88,571-29,519,449-206,636,143

More Examples

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