Q: What are the factor combinations of the number 320,213,435?

 A:
Positive:   1 x 3202134355 x 6404268767 x 4779305181 x 1769135335 x 955861905 x 3538275281 x 6063512127 x 26405
Negative: -1 x -320213435-5 x -64042687-67 x -4779305-181 x -1769135-335 x -955861-905 x -353827-5281 x -60635-12127 x -26405


How do I find the factor combinations of the number 320,213,435?

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 320,213,435, 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.

1 320,213,435
-1 -320,213,435

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 320,213,435.

Example:
1 x 320,213,435 = 320,213,435
and
-1 x -320,213,435 = 320,213,435
Notice both answers equal 320,213,435

With that explanation out of the way, let's continue. Next, we take the number 320,213,435 and divide it by 2:

320,213,435 ÷ 2 = 160,106,717.5

If the quotient is a whole number, then 2 and 160,106,717.5 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:

1 320,213,435
-1 -320,213,435

Now, we try dividing 320,213,435 by 3:

320,213,435 ÷ 3 = 106,737,811.6667

If the quotient is a whole number, then 3 and 106,737,811.6667 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:

1 320,213,435
-1 -320,213,435

Let's try dividing by 4:

320,213,435 ÷ 4 = 80,053,358.75

If the quotient is a whole number, then 4 and 80,053,358.75 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:

1 320,213,435
-1 320,213,435
Keep dividing by the next highest number until you cannot divide anymore.

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

15671813359055,28112,12726,40560,635353,827955,8611,769,1354,779,30564,042,687320,213,435
-1-5-67-181-335-905-5,281-12,127-26,405-60,635-353,827-955,861-1,769,135-4,779,305-64,042,687-320,213,435

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