Q: What are the factor combinations of the number 5,007,431?

 A:
Positive:   1 x 500743111 x 45522113 x 38518719 x 26354997 x 51623143 x 35017209 x 23959247 x 20273361 x 138711067 x 46931261 x 39711843 x 2717
Negative: -1 x -5007431-11 x -455221-13 x -385187-19 x -263549-97 x -51623-143 x -35017-209 x -23959-247 x -20273-361 x -13871-1067 x -4693-1261 x -3971-1843 x -2717


How do I find the factor combinations of the number 5,007,431?

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 5,007,431, 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 5,007,431
-1 -5,007,431

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 5,007,431.

Example:
1 x 5,007,431 = 5,007,431
and
-1 x -5,007,431 = 5,007,431
Notice both answers equal 5,007,431

With that explanation out of the way, let's continue. Next, we take the number 5,007,431 and divide it by 2:

5,007,431 ÷ 2 = 2,503,715.5

If the quotient is a whole number, then 2 and 2,503,715.5 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 5,007,431
-1 -5,007,431

Now, we try dividing 5,007,431 by 3:

5,007,431 ÷ 3 = 1,669,143.6667

If the quotient is a whole number, then 3 and 1,669,143.6667 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 5,007,431
-1 -5,007,431

Let's try dividing by 4:

5,007,431 ÷ 4 = 1,251,857.75

If the quotient is a whole number, then 4 and 1,251,857.75 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 5,007,431
-1 5,007,431
Keep dividing by the next highest number until you cannot divide anymore.

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

1111319971432092473611,0671,2611,8432,7173,9714,69313,87120,27323,95935,01751,623263,549385,187455,2215,007,431
-1-11-13-19-97-143-209-247-361-1,067-1,261-1,843-2,717-3,971-4,693-13,871-20,273-23,959-35,017-51,623-263,549-385,187-455,221-5,007,431

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