Q: What are the factor combinations of the number 167,038,663?

 A:
Positive:   1 x 16703866311 x 15185333107 x 1561109139 x 12017171021 x 1636031177 x 1419191529 x 10924711231 x 14873
Negative: -1 x -167038663-11 x -15185333-107 x -1561109-139 x -1201717-1021 x -163603-1177 x -141919-1529 x -109247-11231 x -14873


How do I find the factor combinations of the number 167,038,663?

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 167,038,663, 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.

1 167,038,663
-1 -167,038,663

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 167,038,663.

Example:
1 x 167,038,663 = 167,038,663
and
-1 x -167,038,663 = 167,038,663
Notice both answers equal 167,038,663

With that explanation out of the way, let's continue. Next, we take the number 167,038,663 and divide it by 2:

167,038,663 ÷ 2 = 83,519,331.5

If the quotient is a whole number, then 2 and 83,519,331.5 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:

1 167,038,663
-1 -167,038,663

Now, we try dividing 167,038,663 by 3:

167,038,663 ÷ 3 = 55,679,554.3333

If the quotient is a whole number, then 3 and 55,679,554.3333 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:

1 167,038,663
-1 -167,038,663

Let's try dividing by 4:

167,038,663 ÷ 4 = 41,759,665.75

If the quotient is a whole number, then 4 and 41,759,665.75 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:

1 167,038,663
-1 167,038,663
Keep dividing by the next highest number until you cannot divide anymore.

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

1111071391,0211,1771,52911,23114,873109,247141,919163,6031,201,7171,561,10915,185,333167,038,663
-1-11-107-139-1,021-1,177-1,529-11,231-14,873-109,247-141,919-163,603-1,201,717-1,561,109-15,185,333-167,038,663

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