Q: What are the factor combinations of the number 10,324,643?

 A:
Positive:   1 x 103246437 x 147494931 x 33305349 x 210707217 x 47579343 x 30101971 x 106331519 x 6797
Negative: -1 x -10324643-7 x -1474949-31 x -333053-49 x -210707-217 x -47579-343 x -30101-971 x -10633-1519 x -6797


How do I find the factor combinations of the number 10,324,643?

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 10,324,643, 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 10,324,643
-1 -10,324,643

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 10,324,643.

Example:
1 x 10,324,643 = 10,324,643
and
-1 x -10,324,643 = 10,324,643
Notice both answers equal 10,324,643

With that explanation out of the way, let's continue. Next, we take the number 10,324,643 and divide it by 2:

10,324,643 ÷ 2 = 5,162,321.5

If the quotient is a whole number, then 2 and 5,162,321.5 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 10,324,643
-1 -10,324,643

Now, we try dividing 10,324,643 by 3:

10,324,643 ÷ 3 = 3,441,547.6667

If the quotient is a whole number, then 3 and 3,441,547.6667 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 10,324,643
-1 -10,324,643

Let's try dividing by 4:

10,324,643 ÷ 4 = 2,581,160.75

If the quotient is a whole number, then 4 and 2,581,160.75 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 10,324,643
-1 10,324,643
Keep dividing by the next highest number until you cannot divide anymore.

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

1731492173439711,5196,79710,63330,10147,579210,707333,0531,474,94910,324,643
-1-7-31-49-217-343-971-1,519-6,797-10,633-30,101-47,579-210,707-333,053-1,474,949-10,324,643

More Examples

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