Q: What are the factor combinations of the number 3,676,309?

 A:
Positive:   1 x 36763097 x 52518713 x 28279371 x 5177991 x 40399497 x 7397569 x 6461923 x 3983
Negative: -1 x -3676309-7 x -525187-13 x -282793-71 x -51779-91 x -40399-497 x -7397-569 x -6461-923 x -3983


How do I find the factor combinations of the number 3,676,309?

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 3,676,309, 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 3,676,309
-1 -3,676,309

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 3,676,309.

Example:
1 x 3,676,309 = 3,676,309
and
-1 x -3,676,309 = 3,676,309
Notice both answers equal 3,676,309

With that explanation out of the way, let's continue. Next, we take the number 3,676,309 and divide it by 2:

3,676,309 ÷ 2 = 1,838,154.5

If the quotient is a whole number, then 2 and 1,838,154.5 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 3,676,309
-1 -3,676,309

Now, we try dividing 3,676,309 by 3:

3,676,309 ÷ 3 = 1,225,436.3333

If the quotient is a whole number, then 3 and 1,225,436.3333 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 3,676,309
-1 -3,676,309

Let's try dividing by 4:

3,676,309 ÷ 4 = 919,077.25

If the quotient is a whole number, then 4 and 919,077.25 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 3,676,309
-1 3,676,309
Keep dividing by the next highest number until you cannot divide anymore.

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

171371914975699233,9836,4617,39740,39951,779282,793525,1873,676,309
-1-7-13-71-91-497-569-923-3,983-6,461-7,397-40,399-51,779-282,793-525,187-3,676,309

More Examples

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