Q: What are the factor combinations of the number 178,838,125?

 A:
Positive:   1 x 1788381255 x 3576762525 x 7153525125 x 1430705277 x 645625625 x 2861411033 x 1731251385 x 1291255165 x 346256925 x 25825
Negative: -1 x -178838125-5 x -35767625-25 x -7153525-125 x -1430705-277 x -645625-625 x -286141-1033 x -173125-1385 x -129125-5165 x -34625-6925 x -25825


How do I find the factor combinations of the number 178,838,125?

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 178,838,125, 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.

1 178,838,125
-1 -178,838,125

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 178,838,125.

Example:
1 x 178,838,125 = 178,838,125
and
-1 x -178,838,125 = 178,838,125
Notice both answers equal 178,838,125

With that explanation out of the way, let's continue. Next, we take the number 178,838,125 and divide it by 2:

178,838,125 ÷ 2 = 89,419,062.5

If the quotient is a whole number, then 2 and 89,419,062.5 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:

1 178,838,125
-1 -178,838,125

Now, we try dividing 178,838,125 by 3:

178,838,125 ÷ 3 = 59,612,708.3333

If the quotient is a whole number, then 3 and 59,612,708.3333 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:

1 178,838,125
-1 -178,838,125

Let's try dividing by 4:

178,838,125 ÷ 4 = 44,709,531.25

If the quotient is a whole number, then 4 and 44,709,531.25 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:

1 178,838,125
-1 178,838,125
Keep dividing by the next highest number until you cannot divide anymore.

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

15251252776251,0331,3855,1656,92525,82534,625129,125173,125286,141645,6251,430,7057,153,52535,767,625178,838,125
-1-5-25-125-277-625-1,033-1,385-5,165-6,925-25,825-34,625-129,125-173,125-286,141-645,625-1,430,705-7,153,525-35,767,625-178,838,125

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