Q: What are the factor combinations of the number 35,580,643?

 A:
Positive:   1 x 355806437 x 508294917 x 209297937 x 961639119 x 298997259 x 137377629 x 565674403 x 8081
Negative: -1 x -35580643-7 x -5082949-17 x -2092979-37 x -961639-119 x -298997-259 x -137377-629 x -56567-4403 x -8081


How do I find the factor combinations of the number 35,580,643?

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 35,580,643, 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 35,580,643
-1 -35,580,643

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 35,580,643.

Example:
1 x 35,580,643 = 35,580,643
and
-1 x -35,580,643 = 35,580,643
Notice both answers equal 35,580,643

With that explanation out of the way, let's continue. Next, we take the number 35,580,643 and divide it by 2:

35,580,643 ÷ 2 = 17,790,321.5

If the quotient is a whole number, then 2 and 17,790,321.5 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 35,580,643
-1 -35,580,643

Now, we try dividing 35,580,643 by 3:

35,580,643 ÷ 3 = 11,860,214.3333

If the quotient is a whole number, then 3 and 11,860,214.3333 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 35,580,643
-1 -35,580,643

Let's try dividing by 4:

35,580,643 ÷ 4 = 8,895,160.75

If the quotient is a whole number, then 4 and 8,895,160.75 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 35,580,643
-1 35,580,643
Keep dividing by the next highest number until you cannot divide anymore.

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

1717371192596294,4038,08156,567137,377298,997961,6392,092,9795,082,94935,580,643
-1-7-17-37-119-259-629-4,403-8,081-56,567-137,377-298,997-961,639-2,092,979-5,082,949-35,580,643

More Examples

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