Q: What are the factor combinations of the number 471,610,843?

 A:
Positive:   1 x 47161084311 x 4287371331 x 1521325337 x 12746239341 x 1383023407 x 11587491147 x 41116912617 x 37379
Negative: -1 x -471610843-11 x -42873713-31 x -15213253-37 x -12746239-341 x -1383023-407 x -1158749-1147 x -411169-12617 x -37379


How do I find the factor combinations of the number 471,610,843?

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 471,610,843, 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.

1 471,610,843
-1 -471,610,843

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 471,610,843.

Example:
1 x 471,610,843 = 471,610,843
and
-1 x -471,610,843 = 471,610,843
Notice both answers equal 471,610,843

With that explanation out of the way, let's continue. Next, we take the number 471,610,843 and divide it by 2:

471,610,843 ÷ 2 = 235,805,421.5

If the quotient is a whole number, then 2 and 235,805,421.5 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:

1 471,610,843
-1 -471,610,843

Now, we try dividing 471,610,843 by 3:

471,610,843 ÷ 3 = 157,203,614.3333

If the quotient is a whole number, then 3 and 157,203,614.3333 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:

1 471,610,843
-1 -471,610,843

Let's try dividing by 4:

471,610,843 ÷ 4 = 117,902,710.75

If the quotient is a whole number, then 4 and 117,902,710.75 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:

1 471,610,843
-1 471,610,843
Keep dividing by the next highest number until you cannot divide anymore.

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

11131373414071,14712,61737,379411,1691,158,7491,383,02312,746,23915,213,25342,873,713471,610,843
-1-11-31-37-341-407-1,147-12,617-37,379-411,169-1,158,749-1,383,023-12,746,239-15,213,253-42,873,713-471,610,843

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