Q: What are the factor combinations of the number 43,037,659?

 A:
Positive:   1 x 430376597 x 614823717 x 253162741 x 1049699119 x 361661287 x 149957697 x 617474879 x 8821
Negative: -1 x -43037659-7 x -6148237-17 x -2531627-41 x -1049699-119 x -361661-287 x -149957-697 x -61747-4879 x -8821


How do I find the factor combinations of the number 43,037,659?

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 43,037,659, 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 43,037,659
-1 -43,037,659

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 43,037,659.

Example:
1 x 43,037,659 = 43,037,659
and
-1 x -43,037,659 = 43,037,659
Notice both answers equal 43,037,659

With that explanation out of the way, let's continue. Next, we take the number 43,037,659 and divide it by 2:

43,037,659 ÷ 2 = 21,518,829.5

If the quotient is a whole number, then 2 and 21,518,829.5 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 43,037,659
-1 -43,037,659

Now, we try dividing 43,037,659 by 3:

43,037,659 ÷ 3 = 14,345,886.3333

If the quotient is a whole number, then 3 and 14,345,886.3333 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 43,037,659
-1 -43,037,659

Let's try dividing by 4:

43,037,659 ÷ 4 = 10,759,414.75

If the quotient is a whole number, then 4 and 10,759,414.75 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 43,037,659
-1 43,037,659
Keep dividing by the next highest number until you cannot divide anymore.

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

1717411192876974,8798,82161,747149,957361,6611,049,6992,531,6276,148,23743,037,659
-1-7-17-41-119-287-697-4,879-8,821-61,747-149,957-361,661-1,049,699-2,531,627-6,148,237-43,037,659

More Examples

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