Q: What are the factor combinations of the number 167,737,427?

 A:
Positive:   1 x 16773742711 x 1524885713 x 12902879143 x 1172989349 x 4806233361 x 499073839 x 436934537 x 36971
Negative: -1 x -167737427-11 x -15248857-13 x -12902879-143 x -1172989-349 x -480623-3361 x -49907-3839 x -43693-4537 x -36971


How do I find the factor combinations of the number 167,737,427?

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 167,737,427, 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.

1 167,737,427
-1 -167,737,427

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 167,737,427.

Example:
1 x 167,737,427 = 167,737,427
and
-1 x -167,737,427 = 167,737,427
Notice both answers equal 167,737,427

With that explanation out of the way, let's continue. Next, we take the number 167,737,427 and divide it by 2:

167,737,427 ÷ 2 = 83,868,713.5

If the quotient is a whole number, then 2 and 83,868,713.5 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:

1 167,737,427
-1 -167,737,427

Now, we try dividing 167,737,427 by 3:

167,737,427 ÷ 3 = 55,912,475.6667

If the quotient is a whole number, then 3 and 55,912,475.6667 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:

1 167,737,427
-1 -167,737,427

Let's try dividing by 4:

167,737,427 ÷ 4 = 41,934,356.75

If the quotient is a whole number, then 4 and 41,934,356.75 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:

1 167,737,427
-1 167,737,427
Keep dividing by the next highest number until you cannot divide anymore.

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

111131433493,3613,8394,53736,97143,69349,907480,6231,172,98912,902,87915,248,857167,737,427
-1-11-13-143-349-3,361-3,839-4,537-36,971-43,693-49,907-480,623-1,172,989-12,902,879-15,248,857-167,737,427

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