Q: What are the factor combinations of the number 6,012,167?

 A:
Positive:   1 x 60121677 x 85888137 x 162491139 x 43253167 x 36001259 x 23213973 x 61791169 x 5143
Negative: -1 x -6012167-7 x -858881-37 x -162491-139 x -43253-167 x -36001-259 x -23213-973 x -6179-1169 x -5143


How do I find the factor combinations of the number 6,012,167?

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 6,012,167, 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 6,012,167
-1 -6,012,167

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 6,012,167.

Example:
1 x 6,012,167 = 6,012,167
and
-1 x -6,012,167 = 6,012,167
Notice both answers equal 6,012,167

With that explanation out of the way, let's continue. Next, we take the number 6,012,167 and divide it by 2:

6,012,167 ÷ 2 = 3,006,083.5

If the quotient is a whole number, then 2 and 3,006,083.5 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 6,012,167
-1 -6,012,167

Now, we try dividing 6,012,167 by 3:

6,012,167 ÷ 3 = 2,004,055.6667

If the quotient is a whole number, then 3 and 2,004,055.6667 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 6,012,167
-1 -6,012,167

Let's try dividing by 4:

6,012,167 ÷ 4 = 1,503,041.75

If the quotient is a whole number, then 4 and 1,503,041.75 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 6,012,167
-1 6,012,167
Keep dividing by the next highest number until you cannot divide anymore.

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

17371391672599731,1695,1436,17923,21336,00143,253162,491858,8816,012,167
-1-7-37-139-167-259-973-1,169-5,143-6,179-23,213-36,001-43,253-162,491-858,881-6,012,167

More Examples

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