Q: What are the factor combinations of the number 10,824,745?

 A:
Positive:   1 x 108247455 x 2164949353 x 306651765 x 6133
Negative: -1 x -10824745-5 x -2164949-353 x -30665-1765 x -6133


How do I find the factor combinations of the number 10,824,745?

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 10,824,745, 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 10,824,745
-1 -10,824,745

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 10,824,745.

Example:
1 x 10,824,745 = 10,824,745
and
-1 x -10,824,745 = 10,824,745
Notice both answers equal 10,824,745

With that explanation out of the way, let's continue. Next, we take the number 10,824,745 and divide it by 2:

10,824,745 ÷ 2 = 5,412,372.5

If the quotient is a whole number, then 2 and 5,412,372.5 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 10,824,745
-1 -10,824,745

Now, we try dividing 10,824,745 by 3:

10,824,745 ÷ 3 = 3,608,248.3333

If the quotient is a whole number, then 3 and 3,608,248.3333 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 10,824,745
-1 -10,824,745

Let's try dividing by 4:

10,824,745 ÷ 4 = 2,706,186.25

If the quotient is a whole number, then 4 and 2,706,186.25 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 10,824,745
-1 10,824,745
Keep dividing by the next highest number until you cannot divide anymore.

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

153531,7656,13330,6652,164,94910,824,745
-1-5-353-1,765-6,133-30,665-2,164,949-10,824,745

More Examples

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