Q: What are the factor combinations of the number 6,060,943?

 A:
Positive:   1 x 60609437 x 86584919 x 318997133 x 45571199 x 30457229 x 264671393 x 43511603 x 3781
Negative: -1 x -6060943-7 x -865849-19 x -318997-133 x -45571-199 x -30457-229 x -26467-1393 x -4351-1603 x -3781


How do I find the factor combinations of the number 6,060,943?

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 6,060,943, 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 6,060,943
-1 -6,060,943

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 6,060,943.

Example:
1 x 6,060,943 = 6,060,943
and
-1 x -6,060,943 = 6,060,943
Notice both answers equal 6,060,943

With that explanation out of the way, let's continue. Next, we take the number 6,060,943 and divide it by 2:

6,060,943 ÷ 2 = 3,030,471.5

If the quotient is a whole number, then 2 and 3,030,471.5 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 6,060,943
-1 -6,060,943

Now, we try dividing 6,060,943 by 3:

6,060,943 ÷ 3 = 2,020,314.3333

If the quotient is a whole number, then 3 and 2,020,314.3333 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 6,060,943
-1 -6,060,943

Let's try dividing by 4:

6,060,943 ÷ 4 = 1,515,235.75

If the quotient is a whole number, then 4 and 1,515,235.75 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 6,060,943
-1 6,060,943
Keep dividing by the next highest number until you cannot divide anymore.

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

17191331992291,3931,6033,7814,35126,46730,45745,571318,997865,8496,060,943
-1-7-19-133-199-229-1,393-1,603-3,781-4,351-26,467-30,457-45,571-318,997-865,849-6,060,943

More Examples

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