Q: What are the factor combinations of the number 4,825,625?

 A:
Positive:   1 x 48256255 x 9651257 x 68937525 x 19302535 x 137875125 x 38605175 x 27575625 x 7721875 x 55151103 x 4375
Negative: -1 x -4825625-5 x -965125-7 x -689375-25 x -193025-35 x -137875-125 x -38605-175 x -27575-625 x -7721-875 x -5515-1103 x -4375


How do I find the factor combinations of the number 4,825,625?

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 4,825,625, 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 4,825,625
-1 -4,825,625

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 4,825,625.

Example:
1 x 4,825,625 = 4,825,625
and
-1 x -4,825,625 = 4,825,625
Notice both answers equal 4,825,625

With that explanation out of the way, let's continue. Next, we take the number 4,825,625 and divide it by 2:

4,825,625 ÷ 2 = 2,412,812.5

If the quotient is a whole number, then 2 and 2,412,812.5 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 4,825,625
-1 -4,825,625

Now, we try dividing 4,825,625 by 3:

4,825,625 ÷ 3 = 1,608,541.6667

If the quotient is a whole number, then 3 and 1,608,541.6667 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 4,825,625
-1 -4,825,625

Let's try dividing by 4:

4,825,625 ÷ 4 = 1,206,406.25

If the quotient is a whole number, then 4 and 1,206,406.25 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 4,825,625
-1 4,825,625
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351251756258751,1034,3755,5157,72127,57538,605137,875193,025689,375965,1254,825,625
-1-5-7-25-35-125-175-625-875-1,103-4,375-5,515-7,721-27,575-38,605-137,875-193,025-689,375-965,125-4,825,625

More Examples

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