Q: What are the factor combinations of the number 140,205,343?

 A:
Positive:   1 x 14020534329 x 483466731 x 452275383 x 1689221899 x 1559571879 x 746172407 x 582492573 x 54491
Negative: -1 x -140205343-29 x -4834667-31 x -4522753-83 x -1689221-899 x -155957-1879 x -74617-2407 x -58249-2573 x -54491


How do I find the factor combinations of the number 140,205,343?

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 140,205,343, 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.

1 140,205,343
-1 -140,205,343

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 140,205,343.

Example:
1 x 140,205,343 = 140,205,343
and
-1 x -140,205,343 = 140,205,343
Notice both answers equal 140,205,343

With that explanation out of the way, let's continue. Next, we take the number 140,205,343 and divide it by 2:

140,205,343 ÷ 2 = 70,102,671.5

If the quotient is a whole number, then 2 and 70,102,671.5 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:

1 140,205,343
-1 -140,205,343

Now, we try dividing 140,205,343 by 3:

140,205,343 ÷ 3 = 46,735,114.3333

If the quotient is a whole number, then 3 and 46,735,114.3333 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:

1 140,205,343
-1 -140,205,343

Let's try dividing by 4:

140,205,343 ÷ 4 = 35,051,335.75

If the quotient is a whole number, then 4 and 35,051,335.75 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:

1 140,205,343
-1 140,205,343
Keep dividing by the next highest number until you cannot divide anymore.

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

12931838991,8792,4072,57354,49158,24974,617155,9571,689,2214,522,7534,834,667140,205,343
-1-29-31-83-899-1,879-2,407-2,573-54,491-58,249-74,617-155,957-1,689,221-4,522,753-4,834,667-140,205,343

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