Q: What are the factor combinations of the number 72,163,355?

 A:
Positive:   1 x 721633555 x 1443267111 x 656030555 x 131206167 x 1077065335 x 215413737 x 979153685 x 19583
Negative: -1 x -72163355-5 x -14432671-11 x -6560305-55 x -1312061-67 x -1077065-335 x -215413-737 x -97915-3685 x -19583


How do I find the factor combinations of the number 72,163,355?

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 72,163,355, 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 72,163,355
-1 -72,163,355

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 72,163,355.

Example:
1 x 72,163,355 = 72,163,355
and
-1 x -72,163,355 = 72,163,355
Notice both answers equal 72,163,355

With that explanation out of the way, let's continue. Next, we take the number 72,163,355 and divide it by 2:

72,163,355 ÷ 2 = 36,081,677.5

If the quotient is a whole number, then 2 and 36,081,677.5 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 72,163,355
-1 -72,163,355

Now, we try dividing 72,163,355 by 3:

72,163,355 ÷ 3 = 24,054,451.6667

If the quotient is a whole number, then 3 and 24,054,451.6667 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 72,163,355
-1 -72,163,355

Let's try dividing by 4:

72,163,355 ÷ 4 = 18,040,838.75

If the quotient is a whole number, then 4 and 18,040,838.75 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 72,163,355
-1 72,163,355
Keep dividing by the next highest number until you cannot divide anymore.

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

151155673357373,68519,58397,915215,4131,077,0651,312,0616,560,30514,432,67172,163,355
-1-5-11-55-67-335-737-3,685-19,583-97,915-215,413-1,077,065-1,312,061-6,560,305-14,432,671-72,163,355

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