Q: What are the factor combinations of the number 12,621,929?

 A:
Positive:   1 x 1262192931 x 40715959 x 21393167 x 188387103 x 1225431829 x 69012077 x 60773193 x 3953
Negative: -1 x -12621929-31 x -407159-59 x -213931-67 x -188387-103 x -122543-1829 x -6901-2077 x -6077-3193 x -3953


How do I find the factor combinations of the number 12,621,929?

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 12,621,929, 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 12,621,929
-1 -12,621,929

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 12,621,929.

Example:
1 x 12,621,929 = 12,621,929
and
-1 x -12,621,929 = 12,621,929
Notice both answers equal 12,621,929

With that explanation out of the way, let's continue. Next, we take the number 12,621,929 and divide it by 2:

12,621,929 ÷ 2 = 6,310,964.5

If the quotient is a whole number, then 2 and 6,310,964.5 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 12,621,929
-1 -12,621,929

Now, we try dividing 12,621,929 by 3:

12,621,929 ÷ 3 = 4,207,309.6667

If the quotient is a whole number, then 3 and 4,207,309.6667 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 12,621,929
-1 -12,621,929

Let's try dividing by 4:

12,621,929 ÷ 4 = 3,155,482.25

If the quotient is a whole number, then 4 and 3,155,482.25 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 12,621,929
-1 12,621,929
Keep dividing by the next highest number until you cannot divide anymore.

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

13159671031,8292,0773,1933,9536,0776,901122,543188,387213,931407,15912,621,929
-1-31-59-67-103-1,829-2,077-3,193-3,953-6,077-6,901-122,543-188,387-213,931-407,159-12,621,929

More Examples

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