Q: What are the factor combinations of the number 167,730,233?

 A:
Positive:   1 x 16773023311 x 1524820319 x 8827907209 x 802537653 x 2568611229 x 1364777183 x 2335112407 x 13519
Negative: -1 x -167730233-11 x -15248203-19 x -8827907-209 x -802537-653 x -256861-1229 x -136477-7183 x -23351-12407 x -13519


How do I find the factor combinations of the number 167,730,233?

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 167,730,233, 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.

1 167,730,233
-1 -167,730,233

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 167,730,233.

Example:
1 x 167,730,233 = 167,730,233
and
-1 x -167,730,233 = 167,730,233
Notice both answers equal 167,730,233

With that explanation out of the way, let's continue. Next, we take the number 167,730,233 and divide it by 2:

167,730,233 ÷ 2 = 83,865,116.5

If the quotient is a whole number, then 2 and 83,865,116.5 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:

1 167,730,233
-1 -167,730,233

Now, we try dividing 167,730,233 by 3:

167,730,233 ÷ 3 = 55,910,077.6667

If the quotient is a whole number, then 3 and 55,910,077.6667 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:

1 167,730,233
-1 -167,730,233

Let's try dividing by 4:

167,730,233 ÷ 4 = 41,932,558.25

If the quotient is a whole number, then 4 and 41,932,558.25 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:

1 167,730,233
-1 167,730,233
Keep dividing by the next highest number until you cannot divide anymore.

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

111192096531,2297,18312,40713,51923,351136,477256,861802,5378,827,90715,248,203167,730,233
-1-11-19-209-653-1,229-7,183-12,407-13,519-23,351-136,477-256,861-802,537-8,827,907-15,248,203-167,730,233

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