Q: What are the factor combinations of the number 72,088,445?

 A:
Positive:   1 x 720884455 x 1441768911 x 655349513 x 554526555 x 131069965 x 1109053143 x 504115715 x 100823
Negative: -1 x -72088445-5 x -14417689-11 x -6553495-13 x -5545265-55 x -1310699-65 x -1109053-143 x -504115-715 x -100823


How do I find the factor combinations of the number 72,088,445?

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 72,088,445, 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 72,088,445
-1 -72,088,445

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 72,088,445.

Example:
1 x 72,088,445 = 72,088,445
and
-1 x -72,088,445 = 72,088,445
Notice both answers equal 72,088,445

With that explanation out of the way, let's continue. Next, we take the number 72,088,445 and divide it by 2:

72,088,445 ÷ 2 = 36,044,222.5

If the quotient is a whole number, then 2 and 36,044,222.5 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 72,088,445
-1 -72,088,445

Now, we try dividing 72,088,445 by 3:

72,088,445 ÷ 3 = 24,029,481.6667

If the quotient is a whole number, then 3 and 24,029,481.6667 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 72,088,445
-1 -72,088,445

Let's try dividing by 4:

72,088,445 ÷ 4 = 18,022,111.25

If the quotient is a whole number, then 4 and 18,022,111.25 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 72,088,445
-1 72,088,445
Keep dividing by the next highest number until you cannot divide anymore.

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

1511135565143715100,823504,1151,109,0531,310,6995,545,2656,553,49514,417,68972,088,445
-1-5-11-13-55-65-143-715-100,823-504,115-1,109,053-1,310,699-5,545,265-6,553,495-14,417,689-72,088,445

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