Q: What are the factor combinations of the number 167,316,023?

 A:
Positive:   1 x 1673160237 x 2390228917 x 9842119119 x 1406017127 x 1317449889 x 1882072159 x 7749711071 x 15113
Negative: -1 x -167316023-7 x -23902289-17 x -9842119-119 x -1406017-127 x -1317449-889 x -188207-2159 x -77497-11071 x -15113


How do I find the factor combinations of the number 167,316,023?

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 167,316,023, 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.

1 167,316,023
-1 -167,316,023

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 167,316,023.

Example:
1 x 167,316,023 = 167,316,023
and
-1 x -167,316,023 = 167,316,023
Notice both answers equal 167,316,023

With that explanation out of the way, let's continue. Next, we take the number 167,316,023 and divide it by 2:

167,316,023 ÷ 2 = 83,658,011.5

If the quotient is a whole number, then 2 and 83,658,011.5 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:

1 167,316,023
-1 -167,316,023

Now, we try dividing 167,316,023 by 3:

167,316,023 ÷ 3 = 55,772,007.6667

If the quotient is a whole number, then 3 and 55,772,007.6667 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:

1 167,316,023
-1 -167,316,023

Let's try dividing by 4:

167,316,023 ÷ 4 = 41,829,005.75

If the quotient is a whole number, then 4 and 41,829,005.75 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:

1 167,316,023
-1 167,316,023
Keep dividing by the next highest number until you cannot divide anymore.

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

17171191278892,15911,07115,11377,497188,2071,317,4491,406,0179,842,11923,902,289167,316,023
-1-7-17-119-127-889-2,159-11,071-15,113-77,497-188,207-1,317,449-1,406,017-9,842,119-23,902,289-167,316,023

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