Q: What are the factor combinations of the number 432,432,245?

 A:
Positive:   1 x 4324322455 x 864864497 x 6177603535 x 1235520771 x 6090595355 x 1218119497 x 8700852485 x 174017
Negative: -1 x -432432245-5 x -86486449-7 x -61776035-35 x -12355207-71 x -6090595-355 x -1218119-497 x -870085-2485 x -174017


How do I find the factor combinations of the number 432,432,245?

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 432,432,245, 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.

1 432,432,245
-1 -432,432,245

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 432,432,245.

Example:
1 x 432,432,245 = 432,432,245
and
-1 x -432,432,245 = 432,432,245
Notice both answers equal 432,432,245

With that explanation out of the way, let's continue. Next, we take the number 432,432,245 and divide it by 2:

432,432,245 ÷ 2 = 216,216,122.5

If the quotient is a whole number, then 2 and 216,216,122.5 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:

1 432,432,245
-1 -432,432,245

Now, we try dividing 432,432,245 by 3:

432,432,245 ÷ 3 = 144,144,081.6667

If the quotient is a whole number, then 3 and 144,144,081.6667 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:

1 432,432,245
-1 -432,432,245

Let's try dividing by 4:

432,432,245 ÷ 4 = 108,108,061.25

If the quotient is a whole number, then 4 and 108,108,061.25 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:

1 432,432,245
-1 432,432,245
Keep dividing by the next highest number until you cannot divide anymore.

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

15735713554972,485174,017870,0851,218,1196,090,59512,355,20761,776,03586,486,449432,432,245
-1-5-7-35-71-355-497-2,485-174,017-870,085-1,218,119-6,090,595-12,355,207-61,776,035-86,486,449-432,432,245

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