Q: What are the factor combinations of the number 160,962,875?

 A:
Positive:   1 x 1609628755 x 3219257525 x 6438515125 x 1287703269 x 5983751345 x 1196754787 x 336256725 x 23935
Negative: -1 x -160962875-5 x -32192575-25 x -6438515-125 x -1287703-269 x -598375-1345 x -119675-4787 x -33625-6725 x -23935


How do I find the factor combinations of the number 160,962,875?

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 160,962,875, 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.

1 160,962,875
-1 -160,962,875

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 160,962,875.

Example:
1 x 160,962,875 = 160,962,875
and
-1 x -160,962,875 = 160,962,875
Notice both answers equal 160,962,875

With that explanation out of the way, let's continue. Next, we take the number 160,962,875 and divide it by 2:

160,962,875 ÷ 2 = 80,481,437.5

If the quotient is a whole number, then 2 and 80,481,437.5 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:

1 160,962,875
-1 -160,962,875

Now, we try dividing 160,962,875 by 3:

160,962,875 ÷ 3 = 53,654,291.6667

If the quotient is a whole number, then 3 and 53,654,291.6667 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:

1 160,962,875
-1 -160,962,875

Let's try dividing by 4:

160,962,875 ÷ 4 = 40,240,718.75

If the quotient is a whole number, then 4 and 40,240,718.75 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:

1 160,962,875
-1 160,962,875
Keep dividing by the next highest number until you cannot divide anymore.

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

15251252691,3454,7876,72523,93533,625119,675598,3751,287,7036,438,51532,192,575160,962,875
-1-5-25-125-269-1,345-4,787-6,725-23,935-33,625-119,675-598,375-1,287,703-6,438,515-32,192,575-160,962,875

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