Q: What are the factor combinations of the number 38,606,737?

 A:
Positive:   1 x 3860673713 x 296974953 x 728429137 x 281801409 x 94393689 x 560331781 x 216775317 x 7261
Negative: -1 x -38606737-13 x -2969749-53 x -728429-137 x -281801-409 x -94393-689 x -56033-1781 x -21677-5317 x -7261


How do I find the factor combinations of the number 38,606,737?

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 38,606,737, 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 38,606,737
-1 -38,606,737

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 38,606,737.

Example:
1 x 38,606,737 = 38,606,737
and
-1 x -38,606,737 = 38,606,737
Notice both answers equal 38,606,737

With that explanation out of the way, let's continue. Next, we take the number 38,606,737 and divide it by 2:

38,606,737 ÷ 2 = 19,303,368.5

If the quotient is a whole number, then 2 and 19,303,368.5 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 38,606,737
-1 -38,606,737

Now, we try dividing 38,606,737 by 3:

38,606,737 ÷ 3 = 12,868,912.3333

If the quotient is a whole number, then 3 and 12,868,912.3333 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 38,606,737
-1 -38,606,737

Let's try dividing by 4:

38,606,737 ÷ 4 = 9,651,684.25

If the quotient is a whole number, then 4 and 9,651,684.25 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 38,606,737
-1 38,606,737
Keep dividing by the next highest number until you cannot divide anymore.

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

113531374096891,7815,3177,26121,67756,03394,393281,801728,4292,969,74938,606,737
-1-13-53-137-409-689-1,781-5,317-7,261-21,677-56,033-94,393-281,801-728,429-2,969,749-38,606,737

More Examples

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