Q: What are the factor combinations of the number 389,755,817?

 A:
Positive:   1 x 38975581711 x 3543234737 x 1053394167 x 5817251407 x 957631737 x 5288412479 x 15722314293 x 27269
Negative: -1 x -389755817-11 x -35432347-37 x -10533941-67 x -5817251-407 x -957631-737 x -528841-2479 x -157223-14293 x -27269


How do I find the factor combinations of the number 389,755,817?

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 389,755,817, 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.

1 389,755,817
-1 -389,755,817

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 389,755,817.

Example:
1 x 389,755,817 = 389,755,817
and
-1 x -389,755,817 = 389,755,817
Notice both answers equal 389,755,817

With that explanation out of the way, let's continue. Next, we take the number 389,755,817 and divide it by 2:

389,755,817 ÷ 2 = 194,877,908.5

If the quotient is a whole number, then 2 and 194,877,908.5 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:

1 389,755,817
-1 -389,755,817

Now, we try dividing 389,755,817 by 3:

389,755,817 ÷ 3 = 129,918,605.6667

If the quotient is a whole number, then 3 and 129,918,605.6667 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:

1 389,755,817
-1 -389,755,817

Let's try dividing by 4:

389,755,817 ÷ 4 = 97,438,954.25

If the quotient is a whole number, then 4 and 97,438,954.25 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:

1 389,755,817
-1 389,755,817
Keep dividing by the next highest number until you cannot divide anymore.

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

11137674077372,47914,29327,269157,223528,841957,6315,817,25110,533,94135,432,347389,755,817
-1-11-37-67-407-737-2,479-14,293-27,269-157,223-528,841-957,631-5,817,251-10,533,941-35,432,347-389,755,817

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