Q: What are the factor combinations of the number 321,423,245?

 A:
Positive:   1 x 3214232455 x 6428464911 x 2922029513 x 2472486555 x 584405965 x 4944973143 x 2247715715 x 449543
Negative: -1 x -321423245-5 x -64284649-11 x -29220295-13 x -24724865-55 x -5844059-65 x -4944973-143 x -2247715-715 x -449543


How do I find the factor combinations of the number 321,423,245?

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 321,423,245, 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.

1 321,423,245
-1 -321,423,245

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 321,423,245.

Example:
1 x 321,423,245 = 321,423,245
and
-1 x -321,423,245 = 321,423,245
Notice both answers equal 321,423,245

With that explanation out of the way, let's continue. Next, we take the number 321,423,245 and divide it by 2:

321,423,245 ÷ 2 = 160,711,622.5

If the quotient is a whole number, then 2 and 160,711,622.5 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:

1 321,423,245
-1 -321,423,245

Now, we try dividing 321,423,245 by 3:

321,423,245 ÷ 3 = 107,141,081.6667

If the quotient is a whole number, then 3 and 107,141,081.6667 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:

1 321,423,245
-1 -321,423,245

Let's try dividing by 4:

321,423,245 ÷ 4 = 80,355,811.25

If the quotient is a whole number, then 4 and 80,355,811.25 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:

1 321,423,245
-1 321,423,245
Keep dividing by the next highest number until you cannot divide anymore.

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

1511135565143715449,5432,247,7154,944,9735,844,05924,724,86529,220,29564,284,649321,423,245
-1-5-11-13-55-65-143-715-449,543-2,247,715-4,944,973-5,844,059-24,724,865-29,220,295-64,284,649-321,423,245

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