Q: What are the factor combinations of the number 785,138,543?

 A:
Positive:   1 x 7851385437 x 112162649151 x 5199593191 x 41106731057 x 7427991337 x 5872393889 x 20188727223 x 28841
Negative: -1 x -785138543-7 x -112162649-151 x -5199593-191 x -4110673-1057 x -742799-1337 x -587239-3889 x -201887-27223 x -28841


How do I find the factor combinations of the number 785,138,543?

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 785,138,543, 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.

1 785,138,543
-1 -785,138,543

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 785,138,543.

Example:
1 x 785,138,543 = 785,138,543
and
-1 x -785,138,543 = 785,138,543
Notice both answers equal 785,138,543

With that explanation out of the way, let's continue. Next, we take the number 785,138,543 and divide it by 2:

785,138,543 ÷ 2 = 392,569,271.5

If the quotient is a whole number, then 2 and 392,569,271.5 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:

1 785,138,543
-1 -785,138,543

Now, we try dividing 785,138,543 by 3:

785,138,543 ÷ 3 = 261,712,847.6667

If the quotient is a whole number, then 3 and 261,712,847.6667 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:

1 785,138,543
-1 -785,138,543

Let's try dividing by 4:

785,138,543 ÷ 4 = 196,284,635.75

If the quotient is a whole number, then 4 and 196,284,635.75 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:

1 785,138,543
-1 785,138,543
Keep dividing by the next highest number until you cannot divide anymore.

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

171511911,0571,3373,88927,22328,841201,887587,239742,7994,110,6735,199,593112,162,649785,138,543
-1-7-151-191-1,057-1,337-3,889-27,223-28,841-201,887-587,239-742,799-4,110,673-5,199,593-112,162,649-785,138,543

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