Q: What are the factor combinations of the number 6,001,135?

 A:
Positive:   1 x 60011355 x 12002277 x 85730531 x 19358535 x 171461155 x 38717217 x 276551085 x 5531
Negative: -1 x -6001135-5 x -1200227-7 x -857305-31 x -193585-35 x -171461-155 x -38717-217 x -27655-1085 x -5531


How do I find the factor combinations of the number 6,001,135?

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 6,001,135, 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 6,001,135
-1 -6,001,135

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 6,001,135.

Example:
1 x 6,001,135 = 6,001,135
and
-1 x -6,001,135 = 6,001,135
Notice both answers equal 6,001,135

With that explanation out of the way, let's continue. Next, we take the number 6,001,135 and divide it by 2:

6,001,135 ÷ 2 = 3,000,567.5

If the quotient is a whole number, then 2 and 3,000,567.5 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 6,001,135
-1 -6,001,135

Now, we try dividing 6,001,135 by 3:

6,001,135 ÷ 3 = 2,000,378.3333

If the quotient is a whole number, then 3 and 2,000,378.3333 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 6,001,135
-1 -6,001,135

Let's try dividing by 4:

6,001,135 ÷ 4 = 1,500,283.75

If the quotient is a whole number, then 4 and 1,500,283.75 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 6,001,135
-1 6,001,135
Keep dividing by the next highest number until you cannot divide anymore.

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

15731351552171,0855,53127,65538,717171,461193,585857,3051,200,2276,001,135
-1-5-7-31-35-155-217-1,085-5,531-27,655-38,717-171,461-193,585-857,305-1,200,227-6,001,135

More Examples

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