Q: What are the factor combinations of the number 38,019,709?

 A:
Positive:   1 x 380197097 x 543138713 x 292459353 x 71735391 x 417799371 x 102479689 x 551814823 x 7883
Negative: -1 x -38019709-7 x -5431387-13 x -2924593-53 x -717353-91 x -417799-371 x -102479-689 x -55181-4823 x -7883


How do I find the factor combinations of the number 38,019,709?

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 38,019,709, 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 38,019,709
-1 -38,019,709

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 38,019,709.

Example:
1 x 38,019,709 = 38,019,709
and
-1 x -38,019,709 = 38,019,709
Notice both answers equal 38,019,709

With that explanation out of the way, let's continue. Next, we take the number 38,019,709 and divide it by 2:

38,019,709 ÷ 2 = 19,009,854.5

If the quotient is a whole number, then 2 and 19,009,854.5 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 38,019,709
-1 -38,019,709

Now, we try dividing 38,019,709 by 3:

38,019,709 ÷ 3 = 12,673,236.3333

If the quotient is a whole number, then 3 and 12,673,236.3333 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 38,019,709
-1 -38,019,709

Let's try dividing by 4:

38,019,709 ÷ 4 = 9,504,927.25

If the quotient is a whole number, then 4 and 9,504,927.25 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 38,019,709
-1 38,019,709
Keep dividing by the next highest number until you cannot divide anymore.

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

171353913716894,8237,88355,181102,479417,799717,3532,924,5935,431,38738,019,709
-1-7-13-53-91-371-689-4,823-7,883-55,181-102,479-417,799-717,353-2,924,593-5,431,387-38,019,709

More Examples

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