Q: What are the factor combinations of the number 5,050,067?

 A:
Positive:   1 x 505006711 x 45909719 x 26579373 x 69179209 x 24163331 x 15257803 x 62891387 x 3641
Negative: -1 x -5050067-11 x -459097-19 x -265793-73 x -69179-209 x -24163-331 x -15257-803 x -6289-1387 x -3641


How do I find the factor combinations of the number 5,050,067?

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 5,050,067, 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 5,050,067
-1 -5,050,067

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 5,050,067.

Example:
1 x 5,050,067 = 5,050,067
and
-1 x -5,050,067 = 5,050,067
Notice both answers equal 5,050,067

With that explanation out of the way, let's continue. Next, we take the number 5,050,067 and divide it by 2:

5,050,067 ÷ 2 = 2,525,033.5

If the quotient is a whole number, then 2 and 2,525,033.5 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 5,050,067
-1 -5,050,067

Now, we try dividing 5,050,067 by 3:

5,050,067 ÷ 3 = 1,683,355.6667

If the quotient is a whole number, then 3 and 1,683,355.6667 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 5,050,067
-1 -5,050,067

Let's try dividing by 4:

5,050,067 ÷ 4 = 1,262,516.75

If the quotient is a whole number, then 4 and 1,262,516.75 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 5,050,067
-1 5,050,067
Keep dividing by the next highest number until you cannot divide anymore.

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

11119732093318031,3873,6416,28915,25724,16369,179265,793459,0975,050,067
-1-11-19-73-209-331-803-1,387-3,641-6,289-15,257-24,163-69,179-265,793-459,097-5,050,067

More Examples

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