Q: What are the factor combinations of the number 1,206,625?

 A:
Positive:   1 x 12066255 x 2413257 x 17237525 x 4826535 x 3447549 x 24625125 x 9653175 x 6895197 x 6125245 x 4925875 x 1379985 x 1225
Negative: -1 x -1206625-5 x -241325-7 x -172375-25 x -48265-35 x -34475-49 x -24625-125 x -9653-175 x -6895-197 x -6125-245 x -4925-875 x -1379-985 x -1225


How do I find the factor combinations of the number 1,206,625?

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 1,206,625, 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 1,206,625
-1 -1,206,625

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 1,206,625.

Example:
1 x 1,206,625 = 1,206,625
and
-1 x -1,206,625 = 1,206,625
Notice both answers equal 1,206,625

With that explanation out of the way, let's continue. Next, we take the number 1,206,625 and divide it by 2:

1,206,625 ÷ 2 = 603,312.5

If the quotient is a whole number, then 2 and 603,312.5 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 1,206,625
-1 -1,206,625

Now, we try dividing 1,206,625 by 3:

1,206,625 ÷ 3 = 402,208.3333

If the quotient is a whole number, then 3 and 402,208.3333 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 1,206,625
-1 -1,206,625

Let's try dividing by 4:

1,206,625 ÷ 4 = 301,656.25

If the quotient is a whole number, then 4 and 301,656.25 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 1,206,625
-1 1,206,625
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535491251751972458759851,2251,3794,9256,1256,8959,65324,62534,47548,265172,375241,3251,206,625
-1-5-7-25-35-49-125-175-197-245-875-985-1,225-1,379-4,925-6,125-6,895-9,653-24,625-34,475-48,265-172,375-241,325-1,206,625

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