Q: What are the factor combinations of the number 1,299,625?

 A:
Positive:   1 x 12996255 x 25992525 x 5198537 x 35125125 x 10397185 x 7025281 x 4625925 x 1405
Negative: -1 x -1299625-5 x -259925-25 x -51985-37 x -35125-125 x -10397-185 x -7025-281 x -4625-925 x -1405


How do I find the factor combinations of the number 1,299,625?

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 1,299,625, 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 1,299,625
-1 -1,299,625

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 1,299,625.

Example:
1 x 1,299,625 = 1,299,625
and
-1 x -1,299,625 = 1,299,625
Notice both answers equal 1,299,625

With that explanation out of the way, let's continue. Next, we take the number 1,299,625 and divide it by 2:

1,299,625 ÷ 2 = 649,812.5

If the quotient is a whole number, then 2 and 649,812.5 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 1,299,625
-1 -1,299,625

Now, we try dividing 1,299,625 by 3:

1,299,625 ÷ 3 = 433,208.3333

If the quotient is a whole number, then 3 and 433,208.3333 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 1,299,625
-1 -1,299,625

Let's try dividing by 4:

1,299,625 ÷ 4 = 324,906.25

If the quotient is a whole number, then 4 and 324,906.25 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 1,299,625
-1 1,299,625
Keep dividing by the next highest number until you cannot divide anymore.

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

1525371251852819251,4054,6257,02510,39735,12551,985259,9251,299,625
-1-5-25-37-125-185-281-925-1,405-4,625-7,025-10,397-35,125-51,985-259,925-1,299,625

More Examples

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