Q: What are the factor combinations of the number 6,003,655?

 A:
Positive:   1 x 60036555 x 12007317 x 85766535 x 171533337 x 17815509 x 117951685 x 35632359 x 2545
Negative: -1 x -6003655-5 x -1200731-7 x -857665-35 x -171533-337 x -17815-509 x -11795-1685 x -3563-2359 x -2545


How do I find the factor combinations of the number 6,003,655?

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 6,003,655, 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 6,003,655
-1 -6,003,655

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 6,003,655.

Example:
1 x 6,003,655 = 6,003,655
and
-1 x -6,003,655 = 6,003,655
Notice both answers equal 6,003,655

With that explanation out of the way, let's continue. Next, we take the number 6,003,655 and divide it by 2:

6,003,655 ÷ 2 = 3,001,827.5

If the quotient is a whole number, then 2 and 3,001,827.5 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 6,003,655
-1 -6,003,655

Now, we try dividing 6,003,655 by 3:

6,003,655 ÷ 3 = 2,001,218.3333

If the quotient is a whole number, then 3 and 2,001,218.3333 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 6,003,655
-1 -6,003,655

Let's try dividing by 4:

6,003,655 ÷ 4 = 1,500,913.75

If the quotient is a whole number, then 4 and 1,500,913.75 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 6,003,655
-1 6,003,655
Keep dividing by the next highest number until you cannot divide anymore.

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

157353375091,6852,3592,5453,56311,79517,815171,533857,6651,200,7316,003,655
-1-5-7-35-337-509-1,685-2,359-2,545-3,563-11,795-17,815-171,533-857,665-1,200,731-6,003,655

More Examples

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