Q: What are the factor combinations of the number 12,346,477?

 A:
Positive:   1 x 1234647711 x 112240713 x 94972947 x 262691121 x 102037143 x 86339167 x 73931517 x 23881611 x 202071573 x 78491837 x 67212171 x 5687
Negative: -1 x -12346477-11 x -1122407-13 x -949729-47 x -262691-121 x -102037-143 x -86339-167 x -73931-517 x -23881-611 x -20207-1573 x -7849-1837 x -6721-2171 x -5687


How do I find the factor combinations of the number 12,346,477?

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 12,346,477, 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 12,346,477
-1 -12,346,477

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 12,346,477.

Example:
1 x 12,346,477 = 12,346,477
and
-1 x -12,346,477 = 12,346,477
Notice both answers equal 12,346,477

With that explanation out of the way, let's continue. Next, we take the number 12,346,477 and divide it by 2:

12,346,477 ÷ 2 = 6,173,238.5

If the quotient is a whole number, then 2 and 6,173,238.5 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 12,346,477
-1 -12,346,477

Now, we try dividing 12,346,477 by 3:

12,346,477 ÷ 3 = 4,115,492.3333

If the quotient is a whole number, then 3 and 4,115,492.3333 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 12,346,477
-1 -12,346,477

Let's try dividing by 4:

12,346,477 ÷ 4 = 3,086,619.25

If the quotient is a whole number, then 4 and 3,086,619.25 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 12,346,477
-1 12,346,477
Keep dividing by the next highest number until you cannot divide anymore.

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

11113471211431675176111,5731,8372,1715,6876,7217,84920,20723,88173,93186,339102,037262,691949,7291,122,40712,346,477
-1-11-13-47-121-143-167-517-611-1,573-1,837-2,171-5,687-6,721-7,849-20,207-23,881-73,931-86,339-102,037-262,691-949,729-1,122,407-12,346,477

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