Q: What are the factor combinations of the number 4,155,655?

 A:
Positive:   1 x 41556555 x 8311317 x 59366535 x 11873337 x 112315185 x 22463259 x 160451295 x 3209
Negative: -1 x -4155655-5 x -831131-7 x -593665-35 x -118733-37 x -112315-185 x -22463-259 x -16045-1295 x -3209


How do I find the factor combinations of the number 4,155,655?

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 4,155,655, 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 4,155,655
-1 -4,155,655

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 4,155,655.

Example:
1 x 4,155,655 = 4,155,655
and
-1 x -4,155,655 = 4,155,655
Notice both answers equal 4,155,655

With that explanation out of the way, let's continue. Next, we take the number 4,155,655 and divide it by 2:

4,155,655 ÷ 2 = 2,077,827.5

If the quotient is a whole number, then 2 and 2,077,827.5 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 4,155,655
-1 -4,155,655

Now, we try dividing 4,155,655 by 3:

4,155,655 ÷ 3 = 1,385,218.3333

If the quotient is a whole number, then 3 and 1,385,218.3333 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 4,155,655
-1 -4,155,655

Let's try dividing by 4:

4,155,655 ÷ 4 = 1,038,913.75

If the quotient is a whole number, then 4 and 1,038,913.75 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 4,155,655
-1 4,155,655
Keep dividing by the next highest number until you cannot divide anymore.

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

15735371852591,2953,20916,04522,463112,315118,733593,665831,1314,155,655
-1-5-7-35-37-185-259-1,295-3,209-16,045-22,463-112,315-118,733-593,665-831,131-4,155,655

More Examples

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