Q: What are the factor combinations of the number 5,017,925?

 A:
Positive:   1 x 50179255 x 100358511 x 45617525 x 20071755 x 9123571 x 70675257 x 19525275 x 18247355 x 14135781 x 64251285 x 39051775 x 2827
Negative: -1 x -5017925-5 x -1003585-11 x -456175-25 x -200717-55 x -91235-71 x -70675-257 x -19525-275 x -18247-355 x -14135-781 x -6425-1285 x -3905-1775 x -2827


How do I find the factor combinations of the number 5,017,925?

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 5,017,925, 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 5,017,925
-1 -5,017,925

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 5,017,925.

Example:
1 x 5,017,925 = 5,017,925
and
-1 x -5,017,925 = 5,017,925
Notice both answers equal 5,017,925

With that explanation out of the way, let's continue. Next, we take the number 5,017,925 and divide it by 2:

5,017,925 ÷ 2 = 2,508,962.5

If the quotient is a whole number, then 2 and 2,508,962.5 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 5,017,925
-1 -5,017,925

Now, we try dividing 5,017,925 by 3:

5,017,925 ÷ 3 = 1,672,641.6667

If the quotient is a whole number, then 3 and 1,672,641.6667 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 5,017,925
-1 -5,017,925

Let's try dividing by 4:

5,017,925 ÷ 4 = 1,254,481.25

If the quotient is a whole number, then 4 and 1,254,481.25 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 5,017,925
-1 5,017,925
Keep dividing by the next highest number until you cannot divide anymore.

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

15112555712572753557811,2851,7752,8273,9056,42514,13518,24719,52570,67591,235200,717456,1751,003,5855,017,925
-1-5-11-25-55-71-257-275-355-781-1,285-1,775-2,827-3,905-6,425-14,135-18,247-19,525-70,675-91,235-200,717-456,175-1,003,585-5,017,925

More Examples

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