Q: What are the factor combinations of the number 237,114,167?

 A:
Positive:   1 x 23711416719 x 1247969337 x 6408491331 x 716357703 x 3372891019 x 2326936289 x 3770312247 x 19361
Negative: -1 x -237114167-19 x -12479693-37 x -6408491-331 x -716357-703 x -337289-1019 x -232693-6289 x -37703-12247 x -19361


How do I find the factor combinations of the number 237,114,167?

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 237,114,167, 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.

1 237,114,167
-1 -237,114,167

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 237,114,167.

Example:
1 x 237,114,167 = 237,114,167
and
-1 x -237,114,167 = 237,114,167
Notice both answers equal 237,114,167

With that explanation out of the way, let's continue. Next, we take the number 237,114,167 and divide it by 2:

237,114,167 ÷ 2 = 118,557,083.5

If the quotient is a whole number, then 2 and 118,557,083.5 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:

1 237,114,167
-1 -237,114,167

Now, we try dividing 237,114,167 by 3:

237,114,167 ÷ 3 = 79,038,055.6667

If the quotient is a whole number, then 3 and 79,038,055.6667 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:

1 237,114,167
-1 -237,114,167

Let's try dividing by 4:

237,114,167 ÷ 4 = 59,278,541.75

If the quotient is a whole number, then 4 and 59,278,541.75 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:

1 237,114,167
-1 237,114,167
Keep dividing by the next highest number until you cannot divide anymore.

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

119373317031,0196,28912,24719,36137,703232,693337,289716,3576,408,49112,479,693237,114,167
-1-19-37-331-703-1,019-6,289-12,247-19,361-37,703-232,693-337,289-716,357-6,408,491-12,479,693-237,114,167

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