Q: What are the factor combinations of the number 5,850,125?

 A:
Positive:   1 x 58501255 x 117002517 x 34412525 x 23400585 x 68825125 x 46801425 x 137652125 x 2753
Negative: -1 x -5850125-5 x -1170025-17 x -344125-25 x -234005-85 x -68825-125 x -46801-425 x -13765-2125 x -2753


How do I find the factor combinations of the number 5,850,125?

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 5,850,125, 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 5,850,125
-1 -5,850,125

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 5,850,125.

Example:
1 x 5,850,125 = 5,850,125
and
-1 x -5,850,125 = 5,850,125
Notice both answers equal 5,850,125

With that explanation out of the way, let's continue. Next, we take the number 5,850,125 and divide it by 2:

5,850,125 ÷ 2 = 2,925,062.5

If the quotient is a whole number, then 2 and 2,925,062.5 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 5,850,125
-1 -5,850,125

Now, we try dividing 5,850,125 by 3:

5,850,125 ÷ 3 = 1,950,041.6667

If the quotient is a whole number, then 3 and 1,950,041.6667 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 5,850,125
-1 -5,850,125

Let's try dividing by 4:

5,850,125 ÷ 4 = 1,462,531.25

If the quotient is a whole number, then 4 and 1,462,531.25 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 5,850,125
-1 5,850,125
Keep dividing by the next highest number until you cannot divide anymore.

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

151725851254252,1252,75313,76546,80168,825234,005344,1251,170,0255,850,125
-1-5-17-25-85-125-425-2,125-2,753-13,765-46,801-68,825-234,005-344,125-1,170,025-5,850,125

More Examples

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