Q: What are the factor combinations of the number 21,123,707?

 A:
Positive:   1 x 2112370711 x 192033717 x 124257137 x 57091143 x 49124971 x 297517187 x 112961407 x 51901473 x 44659629 x 33583731 x 28897781 x 270471207 x 175011591 x 132772627 x 80413053 x 6919
Negative: -1 x -21123707-11 x -1920337-17 x -1242571-37 x -570911-43 x -491249-71 x -297517-187 x -112961-407 x -51901-473 x -44659-629 x -33583-731 x -28897-781 x -27047-1207 x -17501-1591 x -13277-2627 x -8041-3053 x -6919


How do I find the factor combinations of the number 21,123,707?

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 21,123,707, 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 21,123,707
-1 -21,123,707

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 21,123,707.

Example:
1 x 21,123,707 = 21,123,707
and
-1 x -21,123,707 = 21,123,707
Notice both answers equal 21,123,707

With that explanation out of the way, let's continue. Next, we take the number 21,123,707 and divide it by 2:

21,123,707 ÷ 2 = 10,561,853.5

If the quotient is a whole number, then 2 and 10,561,853.5 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 21,123,707
-1 -21,123,707

Now, we try dividing 21,123,707 by 3:

21,123,707 ÷ 3 = 7,041,235.6667

If the quotient is a whole number, then 3 and 7,041,235.6667 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 21,123,707
-1 -21,123,707

Let's try dividing by 4:

21,123,707 ÷ 4 = 5,280,926.75

If the quotient is a whole number, then 4 and 5,280,926.75 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 21,123,707
-1 21,123,707
Keep dividing by the next highest number until you cannot divide anymore.

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

111173743711874074736297317811,2071,5912,6273,0536,9198,04113,27717,50127,04728,89733,58344,65951,901112,961297,517491,249570,9111,242,5711,920,33721,123,707
-1-11-17-37-43-71-187-407-473-629-731-781-1,207-1,591-2,627-3,053-6,919-8,041-13,277-17,501-27,047-28,897-33,583-44,659-51,901-112,961-297,517-491,249-570,911-1,242,571-1,920,337-21,123,707

More Examples

Here are some more numbers to try:

21,123,70521,123,70621,123,70821,123,709
Try the factor calculator

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