Q: What are the factor combinations of the number 10,124,543?

 A:
Positive:   1 x 1012454311 x 92041313 x 778811101 x 100243143 x 70801701 x 144431111 x 91131313 x 7711
Negative: -1 x -10124543-11 x -920413-13 x -778811-101 x -100243-143 x -70801-701 x -14443-1111 x -9113-1313 x -7711


How do I find the factor combinations of the number 10,124,543?

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 10,124,543, 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 10,124,543
-1 -10,124,543

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 10,124,543.

Example:
1 x 10,124,543 = 10,124,543
and
-1 x -10,124,543 = 10,124,543
Notice both answers equal 10,124,543

With that explanation out of the way, let's continue. Next, we take the number 10,124,543 and divide it by 2:

10,124,543 ÷ 2 = 5,062,271.5

If the quotient is a whole number, then 2 and 5,062,271.5 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 10,124,543
-1 -10,124,543

Now, we try dividing 10,124,543 by 3:

10,124,543 ÷ 3 = 3,374,847.6667

If the quotient is a whole number, then 3 and 3,374,847.6667 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 10,124,543
-1 -10,124,543

Let's try dividing by 4:

10,124,543 ÷ 4 = 2,531,135.75

If the quotient is a whole number, then 4 and 2,531,135.75 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 10,124,543
-1 10,124,543
Keep dividing by the next highest number until you cannot divide anymore.

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

111131011437011,1111,3137,7119,11314,44370,801100,243778,811920,41310,124,543
-1-11-13-101-143-701-1,111-1,313-7,711-9,113-14,443-70,801-100,243-778,811-920,413-10,124,543

More Examples

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