Q: What are the factor combinations of the number 477,361,159?

 A:
Positive:   1 x 47736115911 x 4339646923 x 20754833223 x 2140633253 x 18868032453 x 1946035129 x 930718461 x 56419
Negative: -1 x -477361159-11 x -43396469-23 x -20754833-223 x -2140633-253 x -1886803-2453 x -194603-5129 x -93071-8461 x -56419


How do I find the factor combinations of the number 477,361,159?

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 477,361,159, 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.

1 477,361,159
-1 -477,361,159

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 477,361,159.

Example:
1 x 477,361,159 = 477,361,159
and
-1 x -477,361,159 = 477,361,159
Notice both answers equal 477,361,159

With that explanation out of the way, let's continue. Next, we take the number 477,361,159 and divide it by 2:

477,361,159 ÷ 2 = 238,680,579.5

If the quotient is a whole number, then 2 and 238,680,579.5 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:

1 477,361,159
-1 -477,361,159

Now, we try dividing 477,361,159 by 3:

477,361,159 ÷ 3 = 159,120,386.3333

If the quotient is a whole number, then 3 and 159,120,386.3333 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:

1 477,361,159
-1 -477,361,159

Let's try dividing by 4:

477,361,159 ÷ 4 = 119,340,289.75

If the quotient is a whole number, then 4 and 119,340,289.75 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:

1 477,361,159
-1 477,361,159
Keep dividing by the next highest number until you cannot divide anymore.

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

111232232532,4535,1298,46156,41993,071194,6031,886,8032,140,63320,754,83343,396,469477,361,159
-1-11-23-223-253-2,453-5,129-8,461-56,419-93,071-194,603-1,886,803-2,140,633-20,754,833-43,396,469-477,361,159

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