Q: What are the factor combinations of the number 788,432,567?

 A:
Positive:   1 x 78843256713 x 6064865947 x 16775161257 x 3067831611 x 12903973341 x 2359875021 x 15702712079 x 65273
Negative: -1 x -788432567-13 x -60648659-47 x -16775161-257 x -3067831-611 x -1290397-3341 x -235987-5021 x -157027-12079 x -65273


How do I find the factor combinations of the number 788,432,567?

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 788,432,567, 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.

1 788,432,567
-1 -788,432,567

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 788,432,567.

Example:
1 x 788,432,567 = 788,432,567
and
-1 x -788,432,567 = 788,432,567
Notice both answers equal 788,432,567

With that explanation out of the way, let's continue. Next, we take the number 788,432,567 and divide it by 2:

788,432,567 ÷ 2 = 394,216,283.5

If the quotient is a whole number, then 2 and 394,216,283.5 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:

1 788,432,567
-1 -788,432,567

Now, we try dividing 788,432,567 by 3:

788,432,567 ÷ 3 = 262,810,855.6667

If the quotient is a whole number, then 3 and 262,810,855.6667 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:

1 788,432,567
-1 -788,432,567

Let's try dividing by 4:

788,432,567 ÷ 4 = 197,108,141.75

If the quotient is a whole number, then 4 and 197,108,141.75 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:

1 788,432,567
-1 788,432,567
Keep dividing by the next highest number until you cannot divide anymore.

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

113472576113,3415,02112,07965,273157,027235,9871,290,3973,067,83116,775,16160,648,659788,432,567
-1-13-47-257-611-3,341-5,021-12,079-65,273-157,027-235,987-1,290,397-3,067,831-16,775,161-60,648,659-788,432,567

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