Q: What are the factor combinations of the number 158,862,167?

 A:
Positive:   1 x 15886216741 x 387468743 x 3694469251 x 632917359 x 4425131763 x 9010910291 x 1543710793 x 14719
Negative: -1 x -158862167-41 x -3874687-43 x -3694469-251 x -632917-359 x -442513-1763 x -90109-10291 x -15437-10793 x -14719


How do I find the factor combinations of the number 158,862,167?

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 158,862,167, 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.

1 158,862,167
-1 -158,862,167

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 158,862,167.

Example:
1 x 158,862,167 = 158,862,167
and
-1 x -158,862,167 = 158,862,167
Notice both answers equal 158,862,167

With that explanation out of the way, let's continue. Next, we take the number 158,862,167 and divide it by 2:

158,862,167 ÷ 2 = 79,431,083.5

If the quotient is a whole number, then 2 and 79,431,083.5 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:

1 158,862,167
-1 -158,862,167

Now, we try dividing 158,862,167 by 3:

158,862,167 ÷ 3 = 52,954,055.6667

If the quotient is a whole number, then 3 and 52,954,055.6667 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:

1 158,862,167
-1 -158,862,167

Let's try dividing by 4:

158,862,167 ÷ 4 = 39,715,541.75

If the quotient is a whole number, then 4 and 39,715,541.75 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:

1 158,862,167
-1 158,862,167
Keep dividing by the next highest number until you cannot divide anymore.

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

141432513591,76310,29110,79314,71915,43790,109442,513632,9173,694,4693,874,687158,862,167
-1-41-43-251-359-1,763-10,291-10,793-14,719-15,437-90,109-442,513-632,917-3,694,469-3,874,687-158,862,167

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