Q: What are the factor combinations of the number 167,351,489?

 A:
Positive:   1 x 16735148929 x 577074183 x 2016283251 x 666739277 x 6041572407 x 695277279 x 229918033 x 20833
Negative: -1 x -167351489-29 x -5770741-83 x -2016283-251 x -666739-277 x -604157-2407 x -69527-7279 x -22991-8033 x -20833


How do I find the factor combinations of the number 167,351,489?

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 167,351,489, 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.

1 167,351,489
-1 -167,351,489

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 167,351,489.

Example:
1 x 167,351,489 = 167,351,489
and
-1 x -167,351,489 = 167,351,489
Notice both answers equal 167,351,489

With that explanation out of the way, let's continue. Next, we take the number 167,351,489 and divide it by 2:

167,351,489 ÷ 2 = 83,675,744.5

If the quotient is a whole number, then 2 and 83,675,744.5 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:

1 167,351,489
-1 -167,351,489

Now, we try dividing 167,351,489 by 3:

167,351,489 ÷ 3 = 55,783,829.6667

If the quotient is a whole number, then 3 and 55,783,829.6667 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:

1 167,351,489
-1 -167,351,489

Let's try dividing by 4:

167,351,489 ÷ 4 = 41,837,872.25

If the quotient is a whole number, then 4 and 41,837,872.25 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:

1 167,351,489
-1 167,351,489
Keep dividing by the next highest number until you cannot divide anymore.

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

129832512772,4077,2798,03320,83322,99169,527604,157666,7392,016,2835,770,741167,351,489
-1-29-83-251-277-2,407-7,279-8,033-20,833-22,991-69,527-604,157-666,739-2,016,283-5,770,741-167,351,489

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