Q: What are the factor combinations of the number 43,012,463?

 A:
Positive:   1 x 4301246313 x 330865137 x 1162499223 x 192881401 x 107263481 x 894232899 x 148375213 x 8251
Negative: -1 x -43012463-13 x -3308651-37 x -1162499-223 x -192881-401 x -107263-481 x -89423-2899 x -14837-5213 x -8251


How do I find the factor combinations of the number 43,012,463?

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 43,012,463, 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 43,012,463
-1 -43,012,463

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 43,012,463.

Example:
1 x 43,012,463 = 43,012,463
and
-1 x -43,012,463 = 43,012,463
Notice both answers equal 43,012,463

With that explanation out of the way, let's continue. Next, we take the number 43,012,463 and divide it by 2:

43,012,463 ÷ 2 = 21,506,231.5

If the quotient is a whole number, then 2 and 21,506,231.5 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 43,012,463
-1 -43,012,463

Now, we try dividing 43,012,463 by 3:

43,012,463 ÷ 3 = 14,337,487.6667

If the quotient is a whole number, then 3 and 14,337,487.6667 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 43,012,463
-1 -43,012,463

Let's try dividing by 4:

43,012,463 ÷ 4 = 10,753,115.75

If the quotient is a whole number, then 4 and 10,753,115.75 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 43,012,463
-1 43,012,463
Keep dividing by the next highest number until you cannot divide anymore.

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

113372234014812,8995,2138,25114,83789,423107,263192,8811,162,4993,308,65143,012,463
-1-13-37-223-401-481-2,899-5,213-8,251-14,837-89,423-107,263-192,881-1,162,499-3,308,651-43,012,463

More Examples

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