Q: What are the factor combinations of the number 432,443,335?

 A:
Positive:   1 x 4324433355 x 8648866731 x 1394978561 x 7089235155 x 2789957305 x 14178471891 x 2286859455 x 45737
Negative: -1 x -432443335-5 x -86488667-31 x -13949785-61 x -7089235-155 x -2789957-305 x -1417847-1891 x -228685-9455 x -45737


How do I find the factor combinations of the number 432,443,335?

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 432,443,335, 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.

1 432,443,335
-1 -432,443,335

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 432,443,335.

Example:
1 x 432,443,335 = 432,443,335
and
-1 x -432,443,335 = 432,443,335
Notice both answers equal 432,443,335

With that explanation out of the way, let's continue. Next, we take the number 432,443,335 and divide it by 2:

432,443,335 ÷ 2 = 216,221,667.5

If the quotient is a whole number, then 2 and 216,221,667.5 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:

1 432,443,335
-1 -432,443,335

Now, we try dividing 432,443,335 by 3:

432,443,335 ÷ 3 = 144,147,778.3333

If the quotient is a whole number, then 3 and 144,147,778.3333 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:

1 432,443,335
-1 -432,443,335

Let's try dividing by 4:

432,443,335 ÷ 4 = 108,110,833.75

If the quotient is a whole number, then 4 and 108,110,833.75 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:

1 432,443,335
-1 432,443,335
Keep dividing by the next highest number until you cannot divide anymore.

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

1531611553051,8919,45545,737228,6851,417,8472,789,9577,089,23513,949,78586,488,667432,443,335
-1-5-31-61-155-305-1,891-9,455-45,737-228,685-1,417,847-2,789,957-7,089,235-13,949,785-86,488,667-432,443,335

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