Q: What are the factor combinations of the number 7,625,375?

 A:
Positive:   1 x 76253755 x 152507525 x 30501553 x 143875125 x 61003265 x 287751151 x 66251325 x 5755
Negative: -1 x -7625375-5 x -1525075-25 x -305015-53 x -143875-125 x -61003-265 x -28775-1151 x -6625-1325 x -5755


How do I find the factor combinations of the number 7,625,375?

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 7,625,375, 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 7,625,375
-1 -7,625,375

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 7,625,375.

Example:
1 x 7,625,375 = 7,625,375
and
-1 x -7,625,375 = 7,625,375
Notice both answers equal 7,625,375

With that explanation out of the way, let's continue. Next, we take the number 7,625,375 and divide it by 2:

7,625,375 ÷ 2 = 3,812,687.5

If the quotient is a whole number, then 2 and 3,812,687.5 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 7,625,375
-1 -7,625,375

Now, we try dividing 7,625,375 by 3:

7,625,375 ÷ 3 = 2,541,791.6667

If the quotient is a whole number, then 3 and 2,541,791.6667 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 7,625,375
-1 -7,625,375

Let's try dividing by 4:

7,625,375 ÷ 4 = 1,906,343.75

If the quotient is a whole number, then 4 and 1,906,343.75 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 7,625,375
-1 7,625,375
Keep dividing by the next highest number until you cannot divide anymore.

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

1525531252651,1511,3255,7556,62528,77561,003143,875305,0151,525,0757,625,375
-1-5-25-53-125-265-1,151-1,325-5,755-6,625-28,775-61,003-143,875-305,015-1,525,075-7,625,375

More Examples

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