Q: What are the factor combinations of the number 6,042,055?

 A:
Positive:   1 x 60420555 x 120841117 x 35541531 x 19490585 x 71083155 x 38981527 x 114652293 x 2635
Negative: -1 x -6042055-5 x -1208411-17 x -355415-31 x -194905-85 x -71083-155 x -38981-527 x -11465-2293 x -2635


How do I find the factor combinations of the number 6,042,055?

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 6,042,055, 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 6,042,055
-1 -6,042,055

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 6,042,055.

Example:
1 x 6,042,055 = 6,042,055
and
-1 x -6,042,055 = 6,042,055
Notice both answers equal 6,042,055

With that explanation out of the way, let's continue. Next, we take the number 6,042,055 and divide it by 2:

6,042,055 ÷ 2 = 3,021,027.5

If the quotient is a whole number, then 2 and 3,021,027.5 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 6,042,055
-1 -6,042,055

Now, we try dividing 6,042,055 by 3:

6,042,055 ÷ 3 = 2,014,018.3333

If the quotient is a whole number, then 3 and 2,014,018.3333 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 6,042,055
-1 -6,042,055

Let's try dividing by 4:

6,042,055 ÷ 4 = 1,510,513.75

If the quotient is a whole number, then 4 and 1,510,513.75 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 6,042,055
-1 6,042,055
Keep dividing by the next highest number until you cannot divide anymore.

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

151731851555272,2932,63511,46538,98171,083194,905355,4151,208,4116,042,055
-1-5-17-31-85-155-527-2,293-2,635-11,465-38,981-71,083-194,905-355,415-1,208,411-6,042,055

More Examples

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