Q: What are the factor combinations of the number 238,686,613?

 A:
Positive:   1 x 23868661311 x 2169878317 x 1404038953 x 4503521187 x 1276399583 x 409411901 x 2649139911 x 24083
Negative: -1 x -238686613-11 x -21698783-17 x -14040389-53 x -4503521-187 x -1276399-583 x -409411-901 x -264913-9911 x -24083


How do I find the factor combinations of the number 238,686,613?

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 238,686,613, 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.

1 238,686,613
-1 -238,686,613

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 238,686,613.

Example:
1 x 238,686,613 = 238,686,613
and
-1 x -238,686,613 = 238,686,613
Notice both answers equal 238,686,613

With that explanation out of the way, let's continue. Next, we take the number 238,686,613 and divide it by 2:

238,686,613 ÷ 2 = 119,343,306.5

If the quotient is a whole number, then 2 and 119,343,306.5 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:

1 238,686,613
-1 -238,686,613

Now, we try dividing 238,686,613 by 3:

238,686,613 ÷ 3 = 79,562,204.3333

If the quotient is a whole number, then 3 and 79,562,204.3333 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:

1 238,686,613
-1 -238,686,613

Let's try dividing by 4:

238,686,613 ÷ 4 = 59,671,653.25

If the quotient is a whole number, then 4 and 59,671,653.25 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:

1 238,686,613
-1 238,686,613
Keep dividing by the next highest number until you cannot divide anymore.

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

11117531875839019,91124,083264,913409,4111,276,3994,503,52114,040,38921,698,783238,686,613
-1-11-17-53-187-583-901-9,911-24,083-264,913-409,411-1,276,399-4,503,521-14,040,389-21,698,783-238,686,613

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