Q: What are the factor combinations of the number 158,887,897?

 A:
Positive:   1 x 1588878977 x 2269827129 x 5478893203 x 782699673 x 2360891163 x 1366194711 x 337278141 x 19517
Negative: -1 x -158887897-7 x -22698271-29 x -5478893-203 x -782699-673 x -236089-1163 x -136619-4711 x -33727-8141 x -19517


How do I find the factor combinations of the number 158,887,897?

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 158,887,897, 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.

1 158,887,897
-1 -158,887,897

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 158,887,897.

Example:
1 x 158,887,897 = 158,887,897
and
-1 x -158,887,897 = 158,887,897
Notice both answers equal 158,887,897

With that explanation out of the way, let's continue. Next, we take the number 158,887,897 and divide it by 2:

158,887,897 ÷ 2 = 79,443,948.5

If the quotient is a whole number, then 2 and 79,443,948.5 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:

1 158,887,897
-1 -158,887,897

Now, we try dividing 158,887,897 by 3:

158,887,897 ÷ 3 = 52,962,632.3333

If the quotient is a whole number, then 3 and 52,962,632.3333 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:

1 158,887,897
-1 -158,887,897

Let's try dividing by 4:

158,887,897 ÷ 4 = 39,721,974.25

If the quotient is a whole number, then 4 and 39,721,974.25 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:

1 158,887,897
-1 158,887,897
Keep dividing by the next highest number until you cannot divide anymore.

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

17292036731,1634,7118,14119,51733,727136,619236,089782,6995,478,89322,698,271158,887,897
-1-7-29-203-673-1,163-4,711-8,141-19,517-33,727-136,619-236,089-782,699-5,478,893-22,698,271-158,887,897

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