Q: What are the factor combinations of the number 72,723,545?

 A:
Positive:   1 x 727235455 x 1454470919 x 382755541 x 177374595 x 765511205 x 354749779 x 933553895 x 18671
Negative: -1 x -72723545-5 x -14544709-19 x -3827555-41 x -1773745-95 x -765511-205 x -354749-779 x -93355-3895 x -18671


How do I find the factor combinations of the number 72,723,545?

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 72,723,545, 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 72,723,545
-1 -72,723,545

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 72,723,545.

Example:
1 x 72,723,545 = 72,723,545
and
-1 x -72,723,545 = 72,723,545
Notice both answers equal 72,723,545

With that explanation out of the way, let's continue. Next, we take the number 72,723,545 and divide it by 2:

72,723,545 ÷ 2 = 36,361,772.5

If the quotient is a whole number, then 2 and 36,361,772.5 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 72,723,545
-1 -72,723,545

Now, we try dividing 72,723,545 by 3:

72,723,545 ÷ 3 = 24,241,181.6667

If the quotient is a whole number, then 3 and 24,241,181.6667 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 72,723,545
-1 -72,723,545

Let's try dividing by 4:

72,723,545 ÷ 4 = 18,180,886.25

If the quotient is a whole number, then 4 and 18,180,886.25 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 72,723,545
-1 72,723,545
Keep dividing by the next highest number until you cannot divide anymore.

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

151941952057793,89518,67193,355354,749765,5111,773,7453,827,55514,544,70972,723,545
-1-5-19-41-95-205-779-3,895-18,671-93,355-354,749-765,511-1,773,745-3,827,555-14,544,709-72,723,545

More Examples

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