Q: What are the factor combinations of the number 38,505,701?

 A:
Positive:   1 x 3850570113 x 296197759 x 65263961 x 631241767 x 50203793 x 48557823 x 467873599 x 10699
Negative: -1 x -38505701-13 x -2961977-59 x -652639-61 x -631241-767 x -50203-793 x -48557-823 x -46787-3599 x -10699


How do I find the factor combinations of the number 38,505,701?

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 38,505,701, 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 38,505,701
-1 -38,505,701

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 38,505,701.

Example:
1 x 38,505,701 = 38,505,701
and
-1 x -38,505,701 = 38,505,701
Notice both answers equal 38,505,701

With that explanation out of the way, let's continue. Next, we take the number 38,505,701 and divide it by 2:

38,505,701 ÷ 2 = 19,252,850.5

If the quotient is a whole number, then 2 and 19,252,850.5 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 38,505,701
-1 -38,505,701

Now, we try dividing 38,505,701 by 3:

38,505,701 ÷ 3 = 12,835,233.6667

If the quotient is a whole number, then 3 and 12,835,233.6667 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 38,505,701
-1 -38,505,701

Let's try dividing by 4:

38,505,701 ÷ 4 = 9,626,425.25

If the quotient is a whole number, then 4 and 9,626,425.25 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 38,505,701
-1 38,505,701
Keep dividing by the next highest number until you cannot divide anymore.

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

11359617677938233,59910,69946,78748,55750,203631,241652,6392,961,97738,505,701
-1-13-59-61-767-793-823-3,599-10,699-46,787-48,557-50,203-631,241-652,639-2,961,977-38,505,701

More Examples

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