Q: What are the factor combinations of the number 160,210,609?

 A:
Positive:   1 x 16021060913 x 12323893113 x 1417793191 x 838799571 x 2805791469 x 1090612483 x 645237423 x 21583
Negative: -1 x -160210609-13 x -12323893-113 x -1417793-191 x -838799-571 x -280579-1469 x -109061-2483 x -64523-7423 x -21583


How do I find the factor combinations of the number 160,210,609?

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 160,210,609, 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.

1 160,210,609
-1 -160,210,609

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 160,210,609.

Example:
1 x 160,210,609 = 160,210,609
and
-1 x -160,210,609 = 160,210,609
Notice both answers equal 160,210,609

With that explanation out of the way, let's continue. Next, we take the number 160,210,609 and divide it by 2:

160,210,609 ÷ 2 = 80,105,304.5

If the quotient is a whole number, then 2 and 80,105,304.5 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:

1 160,210,609
-1 -160,210,609

Now, we try dividing 160,210,609 by 3:

160,210,609 ÷ 3 = 53,403,536.3333

If the quotient is a whole number, then 3 and 53,403,536.3333 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:

1 160,210,609
-1 -160,210,609

Let's try dividing by 4:

160,210,609 ÷ 4 = 40,052,652.25

If the quotient is a whole number, then 4 and 40,052,652.25 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:

1 160,210,609
-1 160,210,609
Keep dividing by the next highest number until you cannot divide anymore.

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

1131131915711,4692,4837,42321,58364,523109,061280,579838,7991,417,79312,323,893160,210,609
-1-13-113-191-571-1,469-2,483-7,423-21,583-64,523-109,061-280,579-838,799-1,417,793-12,323,893-160,210,609

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