Q: What are the factor combinations of the number 5,067,167?

 A:
Positive:   1 x 50671677 x 72388119 x 26669331 x 163457133 x 38099217 x 23351589 x 86031229 x 4123
Negative: -1 x -5067167-7 x -723881-19 x -266693-31 x -163457-133 x -38099-217 x -23351-589 x -8603-1229 x -4123


How do I find the factor combinations of the number 5,067,167?

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 5,067,167, 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 5,067,167
-1 -5,067,167

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 5,067,167.

Example:
1 x 5,067,167 = 5,067,167
and
-1 x -5,067,167 = 5,067,167
Notice both answers equal 5,067,167

With that explanation out of the way, let's continue. Next, we take the number 5,067,167 and divide it by 2:

5,067,167 ÷ 2 = 2,533,583.5

If the quotient is a whole number, then 2 and 2,533,583.5 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 5,067,167
-1 -5,067,167

Now, we try dividing 5,067,167 by 3:

5,067,167 ÷ 3 = 1,689,055.6667

If the quotient is a whole number, then 3 and 1,689,055.6667 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 5,067,167
-1 -5,067,167

Let's try dividing by 4:

5,067,167 ÷ 4 = 1,266,791.75

If the quotient is a whole number, then 4 and 1,266,791.75 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 5,067,167
-1 5,067,167
Keep dividing by the next highest number until you cannot divide anymore.

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

1719311332175891,2294,1238,60323,35138,099163,457266,693723,8815,067,167
-1-7-19-31-133-217-589-1,229-4,123-8,603-23,351-38,099-163,457-266,693-723,881-5,067,167

More Examples

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