Q: What are the factor combinations of the number 43,612,315?

 A:
Positive:   1 x 436123155 x 872246319 x 229538541 x 106371595 x 459077205 x 212743779 x 559853895 x 11197
Negative: -1 x -43612315-5 x -8722463-19 x -2295385-41 x -1063715-95 x -459077-205 x -212743-779 x -55985-3895 x -11197


How do I find the factor combinations of the number 43,612,315?

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 43,612,315, 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 43,612,315
-1 -43,612,315

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 43,612,315.

Example:
1 x 43,612,315 = 43,612,315
and
-1 x -43,612,315 = 43,612,315
Notice both answers equal 43,612,315

With that explanation out of the way, let's continue. Next, we take the number 43,612,315 and divide it by 2:

43,612,315 ÷ 2 = 21,806,157.5

If the quotient is a whole number, then 2 and 21,806,157.5 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 43,612,315
-1 -43,612,315

Now, we try dividing 43,612,315 by 3:

43,612,315 ÷ 3 = 14,537,438.3333

If the quotient is a whole number, then 3 and 14,537,438.3333 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 43,612,315
-1 -43,612,315

Let's try dividing by 4:

43,612,315 ÷ 4 = 10,903,078.75

If the quotient is a whole number, then 4 and 10,903,078.75 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 43,612,315
-1 43,612,315
Keep dividing by the next highest number until you cannot divide anymore.

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

151941952057793,89511,19755,985212,743459,0771,063,7152,295,3858,722,46343,612,315
-1-5-19-41-95-205-779-3,895-11,197-55,985-212,743-459,077-1,063,715-2,295,385-8,722,463-43,612,315

More Examples

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