Q: What are the factor combinations of the number 38,379,209?

 A:
Positive:   1 x 3837920911 x 348901929 x 132342131 x 1238039319 x 120311341 x 112549899 x 426913881 x 9889
Negative: -1 x -38379209-11 x -3489019-29 x -1323421-31 x -1238039-319 x -120311-341 x -112549-899 x -42691-3881 x -9889


How do I find the factor combinations of the number 38,379,209?

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 38,379,209, 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 38,379,209
-1 -38,379,209

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 38,379,209.

Example:
1 x 38,379,209 = 38,379,209
and
-1 x -38,379,209 = 38,379,209
Notice both answers equal 38,379,209

With that explanation out of the way, let's continue. Next, we take the number 38,379,209 and divide it by 2:

38,379,209 ÷ 2 = 19,189,604.5

If the quotient is a whole number, then 2 and 19,189,604.5 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 38,379,209
-1 -38,379,209

Now, we try dividing 38,379,209 by 3:

38,379,209 ÷ 3 = 12,793,069.6667

If the quotient is a whole number, then 3 and 12,793,069.6667 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 38,379,209
-1 -38,379,209

Let's try dividing by 4:

38,379,209 ÷ 4 = 9,594,802.25

If the quotient is a whole number, then 4 and 9,594,802.25 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 38,379,209
-1 38,379,209
Keep dividing by the next highest number until you cannot divide anymore.

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

11129313193418993,8819,88942,691112,549120,3111,238,0391,323,4213,489,01938,379,209
-1-11-29-31-319-341-899-3,881-9,889-42,691-112,549-120,311-1,238,039-1,323,421-3,489,019-38,379,209

More Examples

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