Q: What are the factor combinations of the number 43,476,713?

 A:
Positive:   1 x 434767137 x 621095929 x 149919761 x 712733203 x 214171427 x 1018191769 x 245773511 x 12383
Negative: -1 x -43476713-7 x -6210959-29 x -1499197-61 x -712733-203 x -214171-427 x -101819-1769 x -24577-3511 x -12383


How do I find the factor combinations of the number 43,476,713?

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 43,476,713, 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 43,476,713
-1 -43,476,713

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 43,476,713.

Example:
1 x 43,476,713 = 43,476,713
and
-1 x -43,476,713 = 43,476,713
Notice both answers equal 43,476,713

With that explanation out of the way, let's continue. Next, we take the number 43,476,713 and divide it by 2:

43,476,713 ÷ 2 = 21,738,356.5

If the quotient is a whole number, then 2 and 21,738,356.5 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 43,476,713
-1 -43,476,713

Now, we try dividing 43,476,713 by 3:

43,476,713 ÷ 3 = 14,492,237.6667

If the quotient is a whole number, then 3 and 14,492,237.6667 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 43,476,713
-1 -43,476,713

Let's try dividing by 4:

43,476,713 ÷ 4 = 10,869,178.25

If the quotient is a whole number, then 4 and 10,869,178.25 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 43,476,713
-1 43,476,713
Keep dividing by the next highest number until you cannot divide anymore.

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

1729612034271,7693,51112,38324,577101,819214,171712,7331,499,1976,210,95943,476,713
-1-7-29-61-203-427-1,769-3,511-12,383-24,577-101,819-214,171-712,733-1,499,197-6,210,959-43,476,713

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