Q: What are the factor combinations of the number 47,557,007?

 A:
Positive:   1 x 4755700717 x 279747131 x 153409741 x 115992771 x 669817527 x 90241697 x 68231961 x 494871207 x 394011271 x 374172201 x 216072911 x 16337
Negative: -1 x -47557007-17 x -2797471-31 x -1534097-41 x -1159927-71 x -669817-527 x -90241-697 x -68231-961 x -49487-1207 x -39401-1271 x -37417-2201 x -21607-2911 x -16337


How do I find the factor combinations of the number 47,557,007?

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 47,557,007, 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 47,557,007
-1 -47,557,007

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 47,557,007.

Example:
1 x 47,557,007 = 47,557,007
and
-1 x -47,557,007 = 47,557,007
Notice both answers equal 47,557,007

With that explanation out of the way, let's continue. Next, we take the number 47,557,007 and divide it by 2:

47,557,007 ÷ 2 = 23,778,503.5

If the quotient is a whole number, then 2 and 23,778,503.5 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 47,557,007
-1 -47,557,007

Now, we try dividing 47,557,007 by 3:

47,557,007 ÷ 3 = 15,852,335.6667

If the quotient is a whole number, then 3 and 15,852,335.6667 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 47,557,007
-1 -47,557,007

Let's try dividing by 4:

47,557,007 ÷ 4 = 11,889,251.75

If the quotient is a whole number, then 4 and 11,889,251.75 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 47,557,007
-1 47,557,007
Keep dividing by the next highest number until you cannot divide anymore.

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

1173141715276979611,2071,2712,2012,91116,33721,60737,41739,40149,48768,23190,241669,8171,159,9271,534,0972,797,47147,557,007
-1-17-31-41-71-527-697-961-1,207-1,271-2,201-2,911-16,337-21,607-37,417-39,401-49,487-68,231-90,241-669,817-1,159,927-1,534,097-2,797,471-47,557,007

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