Q: What are the factor combinations of the number 157,022,201?

 A:
Positive:   1 x 1570222017 x 22431743113 x 1389577179 x 877219791 x 1985111109 x 1415891253 x 1253177763 x 20227
Negative: -1 x -157022201-7 x -22431743-113 x -1389577-179 x -877219-791 x -198511-1109 x -141589-1253 x -125317-7763 x -20227


How do I find the factor combinations of the number 157,022,201?

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 157,022,201, 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.

1 157,022,201
-1 -157,022,201

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 157,022,201.

Example:
1 x 157,022,201 = 157,022,201
and
-1 x -157,022,201 = 157,022,201
Notice both answers equal 157,022,201

With that explanation out of the way, let's continue. Next, we take the number 157,022,201 and divide it by 2:

157,022,201 ÷ 2 = 78,511,100.5

If the quotient is a whole number, then 2 and 78,511,100.5 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:

1 157,022,201
-1 -157,022,201

Now, we try dividing 157,022,201 by 3:

157,022,201 ÷ 3 = 52,340,733.6667

If the quotient is a whole number, then 3 and 52,340,733.6667 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:

1 157,022,201
-1 -157,022,201

Let's try dividing by 4:

157,022,201 ÷ 4 = 39,255,550.25

If the quotient is a whole number, then 4 and 39,255,550.25 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:

1 157,022,201
-1 157,022,201
Keep dividing by the next highest number until you cannot divide anymore.

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

171131797911,1091,2537,76320,227125,317141,589198,511877,2191,389,57722,431,743157,022,201
-1-7-113-179-791-1,109-1,253-7,763-20,227-125,317-141,589-198,511-877,219-1,389,577-22,431,743-157,022,201

More Examples

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