Q: What are the factor combinations of the number 40,248,125?

 A:
Positive:   1 x 402481255 x 804962525 x 160992571 x 566875125 x 321985355 x 113375625 x 64397907 x 443751775 x 226754535 x 8875
Negative: -1 x -40248125-5 x -8049625-25 x -1609925-71 x -566875-125 x -321985-355 x -113375-625 x -64397-907 x -44375-1775 x -22675-4535 x -8875


How do I find the factor combinations of the number 40,248,125?

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 40,248,125, 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 40,248,125
-1 -40,248,125

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 40,248,125.

Example:
1 x 40,248,125 = 40,248,125
and
-1 x -40,248,125 = 40,248,125
Notice both answers equal 40,248,125

With that explanation out of the way, let's continue. Next, we take the number 40,248,125 and divide it by 2:

40,248,125 ÷ 2 = 20,124,062.5

If the quotient is a whole number, then 2 and 20,124,062.5 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 40,248,125
-1 -40,248,125

Now, we try dividing 40,248,125 by 3:

40,248,125 ÷ 3 = 13,416,041.6667

If the quotient is a whole number, then 3 and 13,416,041.6667 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 40,248,125
-1 -40,248,125

Let's try dividing by 4:

40,248,125 ÷ 4 = 10,062,031.25

If the quotient is a whole number, then 4 and 10,062,031.25 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 40,248,125
-1 40,248,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1525711253556259071,7754,5358,87522,67544,37564,397113,375321,985566,8751,609,9258,049,62540,248,125
-1-5-25-71-125-355-625-907-1,775-4,535-8,875-22,675-44,375-64,397-113,375-321,985-566,875-1,609,925-8,049,625-40,248,125

More Examples

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