Q: What are the factor combinations of the number 3,164,317?

 A:
Positive:   1 x 316431713 x 24340919 x 16654323 x 137579247 x 12811299 x 10583437 x 7241557 x 5681
Negative: -1 x -3164317-13 x -243409-19 x -166543-23 x -137579-247 x -12811-299 x -10583-437 x -7241-557 x -5681


How do I find the factor combinations of the number 3,164,317?

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 3,164,317, 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 3,164,317
-1 -3,164,317

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 3,164,317.

Example:
1 x 3,164,317 = 3,164,317
and
-1 x -3,164,317 = 3,164,317
Notice both answers equal 3,164,317

With that explanation out of the way, let's continue. Next, we take the number 3,164,317 and divide it by 2:

3,164,317 ÷ 2 = 1,582,158.5

If the quotient is a whole number, then 2 and 1,582,158.5 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 3,164,317
-1 -3,164,317

Now, we try dividing 3,164,317 by 3:

3,164,317 ÷ 3 = 1,054,772.3333

If the quotient is a whole number, then 3 and 1,054,772.3333 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 3,164,317
-1 -3,164,317

Let's try dividing by 4:

3,164,317 ÷ 4 = 791,079.25

If the quotient is a whole number, then 4 and 791,079.25 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 3,164,317
-1 3,164,317
Keep dividing by the next highest number until you cannot divide anymore.

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

11319232472994375575,6817,24110,58312,811137,579166,543243,4093,164,317
-1-13-19-23-247-299-437-557-5,681-7,241-10,583-12,811-137,579-166,543-243,409-3,164,317

More Examples

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