Q: What are the factor combinations of the number 7,896,625?

 A:
Positive:   1 x 78966255 x 157932511 x 71787525 x 31586555 x 143575125 x 63173275 x 287151375 x 5743
Negative: -1 x -7896625-5 x -1579325-11 x -717875-25 x -315865-55 x -143575-125 x -63173-275 x -28715-1375 x -5743


How do I find the factor combinations of the number 7,896,625?

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 7,896,625, 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 7,896,625
-1 -7,896,625

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 7,896,625.

Example:
1 x 7,896,625 = 7,896,625
and
-1 x -7,896,625 = 7,896,625
Notice both answers equal 7,896,625

With that explanation out of the way, let's continue. Next, we take the number 7,896,625 and divide it by 2:

7,896,625 ÷ 2 = 3,948,312.5

If the quotient is a whole number, then 2 and 3,948,312.5 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 7,896,625
-1 -7,896,625

Now, we try dividing 7,896,625 by 3:

7,896,625 ÷ 3 = 2,632,208.3333

If the quotient is a whole number, then 3 and 2,632,208.3333 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 7,896,625
-1 -7,896,625

Let's try dividing by 4:

7,896,625 ÷ 4 = 1,974,156.25

If the quotient is a whole number, then 4 and 1,974,156.25 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 7,896,625
-1 7,896,625
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551252751,3755,74328,71563,173143,575315,865717,8751,579,3257,896,625
-1-5-11-25-55-125-275-1,375-5,743-28,715-63,173-143,575-315,865-717,875-1,579,325-7,896,625

More Examples

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