Q: What are the factor combinations of the number 72,825,625?

 A:
Positive:   1 x 728256255 x 1456512525 x 2913025109 x 668125125 x 582605545 x 133625625 x 1165211069 x 681252725 x 267255345 x 13625
Negative: -1 x -72825625-5 x -14565125-25 x -2913025-109 x -668125-125 x -582605-545 x -133625-625 x -116521-1069 x -68125-2725 x -26725-5345 x -13625


How do I find the factor combinations of the number 72,825,625?

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 72,825,625, 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 72,825,625
-1 -72,825,625

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 72,825,625.

Example:
1 x 72,825,625 = 72,825,625
and
-1 x -72,825,625 = 72,825,625
Notice both answers equal 72,825,625

With that explanation out of the way, let's continue. Next, we take the number 72,825,625 and divide it by 2:

72,825,625 ÷ 2 = 36,412,812.5

If the quotient is a whole number, then 2 and 36,412,812.5 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 72,825,625
-1 -72,825,625

Now, we try dividing 72,825,625 by 3:

72,825,625 ÷ 3 = 24,275,208.3333

If the quotient is a whole number, then 3 and 24,275,208.3333 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 72,825,625
-1 -72,825,625

Let's try dividing by 4:

72,825,625 ÷ 4 = 18,206,406.25

If the quotient is a whole number, then 4 and 18,206,406.25 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 72,825,625
-1 72,825,625
Keep dividing by the next highest number until you cannot divide anymore.

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

15251091255456251,0692,7255,34513,62526,72568,125116,521133,625582,605668,1252,913,02514,565,12572,825,625
-1-5-25-109-125-545-625-1,069-2,725-5,345-13,625-26,725-68,125-116,521-133,625-582,605-668,125-2,913,025-14,565,125-72,825,625

More Examples

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