Q: What are the factor combinations of the number 1,225,625?

 A:
Positive:   1 x 12256255 x 24512525 x 4902537 x 3312553 x 23125125 x 9805185 x 6625265 x 4625625 x 1961925 x 1325
Negative: -1 x -1225625-5 x -245125-25 x -49025-37 x -33125-53 x -23125-125 x -9805-185 x -6625-265 x -4625-625 x -1961-925 x -1325


How do I find the factor combinations of the number 1,225,625?

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 1,225,625, 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 1,225,625
-1 -1,225,625

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 1,225,625.

Example:
1 x 1,225,625 = 1,225,625
and
-1 x -1,225,625 = 1,225,625
Notice both answers equal 1,225,625

With that explanation out of the way, let's continue. Next, we take the number 1,225,625 and divide it by 2:

1,225,625 ÷ 2 = 612,812.5

If the quotient is a whole number, then 2 and 612,812.5 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 1,225,625
-1 -1,225,625

Now, we try dividing 1,225,625 by 3:

1,225,625 ÷ 3 = 408,541.6667

If the quotient is a whole number, then 3 and 408,541.6667 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 1,225,625
-1 -1,225,625

Let's try dividing by 4:

1,225,625 ÷ 4 = 306,406.25

If the quotient is a whole number, then 4 and 306,406.25 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 1,225,625
-1 1,225,625
Keep dividing by the next highest number until you cannot divide anymore.

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

152537531251852656259251,3251,9614,6256,6259,80523,12533,12549,025245,1251,225,625
-1-5-25-37-53-125-185-265-625-925-1,325-1,961-4,625-6,625-9,805-23,125-33,125-49,025-245,125-1,225,625

More Examples

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