Q: What are the factor combinations of the number 379,308?

 A:
Positive:   1 x 3793082 x 1896543 x 1264364 x 948276 x 6321812 x 3160973 x 5196146 x 2598219 x 1732292 x 1299433 x 876438 x 866
Negative: -1 x -379308-2 x -189654-3 x -126436-4 x -94827-6 x -63218-12 x -31609-73 x -5196-146 x -2598-219 x -1732-292 x -1299-433 x -876-438 x -866


How do I find the factor combinations of the number 379,308?

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 379,308, 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.

1 379,308
-1 -379,308

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 379,308.

Example:
1 x 379,308 = 379,308
and
-1 x -379,308 = 379,308
Notice both answers equal 379,308

With that explanation out of the way, let's continue. Next, we take the number 379,308 and divide it by 2:

379,308 ÷ 2 = 189,654

If the quotient is a whole number, then 2 and 189,654 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 189,654 379,308
-1 -2 -189,654 -379,308

Now, we try dividing 379,308 by 3:

379,308 ÷ 3 = 126,436

If the quotient is a whole number, then 3 and 126,436 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 126,436 189,654 379,308
-1 -2 -3 -126,436 -189,654 -379,308

Let's try dividing by 4:

379,308 ÷ 4 = 94,827

If the quotient is a whole number, then 4 and 94,827 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 94,827 126,436 189,654 379,308
-1 -2 -3 -4 -94,827 -126,436 -189,654 379,308
Keep dividing by the next highest number until you cannot divide anymore.

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

1234612731462192924334388668761,2991,7322,5985,19631,60963,21894,827126,436189,654379,308
-1-2-3-4-6-12-73-146-219-292-433-438-866-876-1,299-1,732-2,598-5,196-31,609-63,218-94,827-126,436-189,654-379,308

More Examples

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