Q: What are the factor combinations of the number 43,212,385?

 A:
Positive:   1 x 432123855 x 864247717 x 254190585 x 508381127 x 340255635 x 680512159 x 200154003 x 10795
Negative: -1 x -43212385-5 x -8642477-17 x -2541905-85 x -508381-127 x -340255-635 x -68051-2159 x -20015-4003 x -10795


How do I find the factor combinations of the number 43,212,385?

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 43,212,385, 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 43,212,385
-1 -43,212,385

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 43,212,385.

Example:
1 x 43,212,385 = 43,212,385
and
-1 x -43,212,385 = 43,212,385
Notice both answers equal 43,212,385

With that explanation out of the way, let's continue. Next, we take the number 43,212,385 and divide it by 2:

43,212,385 ÷ 2 = 21,606,192.5

If the quotient is a whole number, then 2 and 21,606,192.5 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 43,212,385
-1 -43,212,385

Now, we try dividing 43,212,385 by 3:

43,212,385 ÷ 3 = 14,404,128.3333

If the quotient is a whole number, then 3 and 14,404,128.3333 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 43,212,385
-1 -43,212,385

Let's try dividing by 4:

43,212,385 ÷ 4 = 10,803,096.25

If the quotient is a whole number, then 4 and 10,803,096.25 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 43,212,385
-1 43,212,385
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851276352,1594,00310,79520,01568,051340,255508,3812,541,9058,642,47743,212,385
-1-5-17-85-127-635-2,159-4,003-10,795-20,015-68,051-340,255-508,381-2,541,905-8,642,477-43,212,385

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