Q: What are the factor combinations of the number 80,133,625?

 A:
Positive:   1 x 801336255 x 1602672511 x 728487513 x 616412525 x 320534555 x 145697565 x 1232825125 x 641069143 x 560375275 x 291395325 x 246565715 x 1120751375 x 582791625 x 493133575 x 224154483 x 17875
Negative: -1 x -80133625-5 x -16026725-11 x -7284875-13 x -6164125-25 x -3205345-55 x -1456975-65 x -1232825-125 x -641069-143 x -560375-275 x -291395-325 x -246565-715 x -112075-1375 x -58279-1625 x -49313-3575 x -22415-4483 x -17875


How do I find the factor combinations of the number 80,133,625?

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 80,133,625, 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 80,133,625
-1 -80,133,625

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 80,133,625.

Example:
1 x 80,133,625 = 80,133,625
and
-1 x -80,133,625 = 80,133,625
Notice both answers equal 80,133,625

With that explanation out of the way, let's continue. Next, we take the number 80,133,625 and divide it by 2:

80,133,625 ÷ 2 = 40,066,812.5

If the quotient is a whole number, then 2 and 40,066,812.5 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 80,133,625
-1 -80,133,625

Now, we try dividing 80,133,625 by 3:

80,133,625 ÷ 3 = 26,711,208.3333

If the quotient is a whole number, then 3 and 26,711,208.3333 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 80,133,625
-1 -80,133,625

Let's try dividing by 4:

80,133,625 ÷ 4 = 20,033,406.25

If the quotient is a whole number, then 4 and 20,033,406.25 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 80,133,625
-1 80,133,625
Keep dividing by the next highest number until you cannot divide anymore.

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

1511132555651251432753257151,3751,6253,5754,48317,87522,41549,31358,279112,075246,565291,395560,375641,0691,232,8251,456,9753,205,3456,164,1257,284,87516,026,72580,133,625
-1-5-11-13-25-55-65-125-143-275-325-715-1,375-1,625-3,575-4,483-17,875-22,415-49,313-58,279-112,075-246,565-291,395-560,375-641,069-1,232,825-1,456,975-3,205,345-6,164,125-7,284,875-16,026,725-80,133,625

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