Q: What are the factor combinations of the number 15,999,125?

 A:
Positive:   1 x 159991255 x 319982517 x 94112525 x 63996585 x 188225125 x 127993425 x 376452125 x 7529
Negative: -1 x -15999125-5 x -3199825-17 x -941125-25 x -639965-85 x -188225-125 x -127993-425 x -37645-2125 x -7529


How do I find the factor combinations of the number 15,999,125?

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 15,999,125, 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 15,999,125
-1 -15,999,125

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 15,999,125.

Example:
1 x 15,999,125 = 15,999,125
and
-1 x -15,999,125 = 15,999,125
Notice both answers equal 15,999,125

With that explanation out of the way, let's continue. Next, we take the number 15,999,125 and divide it by 2:

15,999,125 ÷ 2 = 7,999,562.5

If the quotient is a whole number, then 2 and 7,999,562.5 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 15,999,125
-1 -15,999,125

Now, we try dividing 15,999,125 by 3:

15,999,125 ÷ 3 = 5,333,041.6667

If the quotient is a whole number, then 3 and 5,333,041.6667 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 15,999,125
-1 -15,999,125

Let's try dividing by 4:

15,999,125 ÷ 4 = 3,999,781.25

If the quotient is a whole number, then 4 and 3,999,781.25 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 15,999,125
-1 15,999,125
Keep dividing by the next highest number until you cannot divide anymore.

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

151725851254252,1257,52937,645127,993188,225639,965941,1253,199,82515,999,125
-1-5-17-25-85-125-425-2,125-7,529-37,645-127,993-188,225-639,965-941,125-3,199,825-15,999,125

More Examples

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