Q: What are the factor combinations of the number 210,160,433?

 A:
Positive:   1 x 2101604337 x 3002291961 x 3445253427 x 492179677 x 310429727 x 2890794739 x 443475089 x 41297
Negative: -1 x -210160433-7 x -30022919-61 x -3445253-427 x -492179-677 x -310429-727 x -289079-4739 x -44347-5089 x -41297


How do I find the factor combinations of the number 210,160,433?

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 210,160,433, 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.

1 210,160,433
-1 -210,160,433

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 210,160,433.

Example:
1 x 210,160,433 = 210,160,433
and
-1 x -210,160,433 = 210,160,433
Notice both answers equal 210,160,433

With that explanation out of the way, let's continue. Next, we take the number 210,160,433 and divide it by 2:

210,160,433 ÷ 2 = 105,080,216.5

If the quotient is a whole number, then 2 and 105,080,216.5 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:

1 210,160,433
-1 -210,160,433

Now, we try dividing 210,160,433 by 3:

210,160,433 ÷ 3 = 70,053,477.6667

If the quotient is a whole number, then 3 and 70,053,477.6667 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:

1 210,160,433
-1 -210,160,433

Let's try dividing by 4:

210,160,433 ÷ 4 = 52,540,108.25

If the quotient is a whole number, then 4 and 52,540,108.25 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:

1 210,160,433
-1 210,160,433
Keep dividing by the next highest number until you cannot divide anymore.

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

17614276777274,7395,08941,29744,347289,079310,429492,1793,445,25330,022,919210,160,433
-1-7-61-427-677-727-4,739-5,089-41,297-44,347-289,079-310,429-492,179-3,445,253-30,022,919-210,160,433

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