Q: What are the factor combinations of the number 43,940,813?

 A:
Positive:   1 x 439408137 x 627725989 x 493717251 x 175063281 x 156373623 x 705311757 x 250091967 x 22339
Negative: -1 x -43940813-7 x -6277259-89 x -493717-251 x -175063-281 x -156373-623 x -70531-1757 x -25009-1967 x -22339


How do I find the factor combinations of the number 43,940,813?

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 43,940,813, 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 43,940,813
-1 -43,940,813

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 43,940,813.

Example:
1 x 43,940,813 = 43,940,813
and
-1 x -43,940,813 = 43,940,813
Notice both answers equal 43,940,813

With that explanation out of the way, let's continue. Next, we take the number 43,940,813 and divide it by 2:

43,940,813 ÷ 2 = 21,970,406.5

If the quotient is a whole number, then 2 and 21,970,406.5 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 43,940,813
-1 -43,940,813

Now, we try dividing 43,940,813 by 3:

43,940,813 ÷ 3 = 14,646,937.6667

If the quotient is a whole number, then 3 and 14,646,937.6667 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 43,940,813
-1 -43,940,813

Let's try dividing by 4:

43,940,813 ÷ 4 = 10,985,203.25

If the quotient is a whole number, then 4 and 10,985,203.25 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 43,940,813
-1 43,940,813
Keep dividing by the next highest number until you cannot divide anymore.

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

17892512816231,7571,96722,33925,00970,531156,373175,063493,7176,277,25943,940,813
-1-7-89-251-281-623-1,757-1,967-22,339-25,009-70,531-156,373-175,063-493,717-6,277,259-43,940,813

More Examples

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