Q: What are the factor combinations of the number 134,143,243?

 A:
Positive:   1 x 13414324313 x 1031871117 x 7890779169 x 793747221 x 6069832873 x 46691
Negative: -1 x -134143243-13 x -10318711-17 x -7890779-169 x -793747-221 x -606983-2873 x -46691


How do I find the factor combinations of the number 134,143,243?

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 134,143,243, 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.

1 134,143,243
-1 -134,143,243

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 134,143,243.

Example:
1 x 134,143,243 = 134,143,243
and
-1 x -134,143,243 = 134,143,243
Notice both answers equal 134,143,243

With that explanation out of the way, let's continue. Next, we take the number 134,143,243 and divide it by 2:

134,143,243 ÷ 2 = 67,071,621.5

If the quotient is a whole number, then 2 and 67,071,621.5 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:

1 134,143,243
-1 -134,143,243

Now, we try dividing 134,143,243 by 3:

134,143,243 ÷ 3 = 44,714,414.3333

If the quotient is a whole number, then 3 and 44,714,414.3333 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:

1 134,143,243
-1 -134,143,243

Let's try dividing by 4:

134,143,243 ÷ 4 = 33,535,810.75

If the quotient is a whole number, then 4 and 33,535,810.75 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:

1 134,143,243
-1 134,143,243
Keep dividing by the next highest number until you cannot divide anymore.

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

113171692212,87346,691606,983793,7477,890,77910,318,711134,143,243
-1-13-17-169-221-2,873-46,691-606,983-793,747-7,890,779-10,318,711-134,143,243

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