Q: What are the factor combinations of the number 356,527,717?

 A:
Positive:   1 x 3565277177 x 5093253113 x 2742520991 x 3917887223 x 15987791561 x 2283972899 x 12298317569 x 20293
Negative: -1 x -356527717-7 x -50932531-13 x -27425209-91 x -3917887-223 x -1598779-1561 x -228397-2899 x -122983-17569 x -20293


How do I find the factor combinations of the number 356,527,717?

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 356,527,717, 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.

1 356,527,717
-1 -356,527,717

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 356,527,717.

Example:
1 x 356,527,717 = 356,527,717
and
-1 x -356,527,717 = 356,527,717
Notice both answers equal 356,527,717

With that explanation out of the way, let's continue. Next, we take the number 356,527,717 and divide it by 2:

356,527,717 ÷ 2 = 178,263,858.5

If the quotient is a whole number, then 2 and 178,263,858.5 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:

1 356,527,717
-1 -356,527,717

Now, we try dividing 356,527,717 by 3:

356,527,717 ÷ 3 = 118,842,572.3333

If the quotient is a whole number, then 3 and 118,842,572.3333 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:

1 356,527,717
-1 -356,527,717

Let's try dividing by 4:

356,527,717 ÷ 4 = 89,131,929.25

If the quotient is a whole number, then 4 and 89,131,929.25 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:

1 356,527,717
-1 356,527,717
Keep dividing by the next highest number until you cannot divide anymore.

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

1713912231,5612,89917,56920,293122,983228,3971,598,7793,917,88727,425,20950,932,531356,527,717
-1-7-13-91-223-1,561-2,899-17,569-20,293-122,983-228,397-1,598,779-3,917,887-27,425,209-50,932,531-356,527,717

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