Q: What are the factor combinations of the number 142,333,331?

 A:
Positive:   1 x 1423333317 x 20333333103 x 1381877113 x 1259587721 x 197411791 x 1799411747 x 8147311639 x 12229
Negative: -1 x -142333331-7 x -20333333-103 x -1381877-113 x -1259587-721 x -197411-791 x -179941-1747 x -81473-11639 x -12229


How do I find the factor combinations of the number 142,333,331?

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 142,333,331, 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.

1 142,333,331
-1 -142,333,331

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 142,333,331.

Example:
1 x 142,333,331 = 142,333,331
and
-1 x -142,333,331 = 142,333,331
Notice both answers equal 142,333,331

With that explanation out of the way, let's continue. Next, we take the number 142,333,331 and divide it by 2:

142,333,331 ÷ 2 = 71,166,665.5

If the quotient is a whole number, then 2 and 71,166,665.5 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:

1 142,333,331
-1 -142,333,331

Now, we try dividing 142,333,331 by 3:

142,333,331 ÷ 3 = 47,444,443.6667

If the quotient is a whole number, then 3 and 47,444,443.6667 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:

1 142,333,331
-1 -142,333,331

Let's try dividing by 4:

142,333,331 ÷ 4 = 35,583,332.75

If the quotient is a whole number, then 4 and 35,583,332.75 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:

1 142,333,331
-1 142,333,331
Keep dividing by the next highest number until you cannot divide anymore.

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

171031137217911,74711,63912,22981,473179,941197,4111,259,5871,381,87720,333,333142,333,331
-1-7-103-113-721-791-1,747-11,639-12,229-81,473-179,941-197,411-1,259,587-1,381,877-20,333,333-142,333,331

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