Q: What are the factor combinations of the number 314,391,341?

 A:
Positive:   1 x 31439134111 x 28581031149 x 2110009433 x 726077443 x 7096871639 x 1918194763 x 660074873 x 64517
Negative: -1 x -314391341-11 x -28581031-149 x -2110009-433 x -726077-443 x -709687-1639 x -191819-4763 x -66007-4873 x -64517


How do I find the factor combinations of the number 314,391,341?

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 314,391,341, 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.

1 314,391,341
-1 -314,391,341

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 314,391,341.

Example:
1 x 314,391,341 = 314,391,341
and
-1 x -314,391,341 = 314,391,341
Notice both answers equal 314,391,341

With that explanation out of the way, let's continue. Next, we take the number 314,391,341 and divide it by 2:

314,391,341 ÷ 2 = 157,195,670.5

If the quotient is a whole number, then 2 and 157,195,670.5 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:

1 314,391,341
-1 -314,391,341

Now, we try dividing 314,391,341 by 3:

314,391,341 ÷ 3 = 104,797,113.6667

If the quotient is a whole number, then 3 and 104,797,113.6667 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:

1 314,391,341
-1 -314,391,341

Let's try dividing by 4:

314,391,341 ÷ 4 = 78,597,835.25

If the quotient is a whole number, then 4 and 78,597,835.25 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:

1 314,391,341
-1 314,391,341
Keep dividing by the next highest number until you cannot divide anymore.

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

1111494334431,6394,7634,87364,51766,007191,819709,687726,0772,110,00928,581,031314,391,341
-1-11-149-433-443-1,639-4,763-4,873-64,517-66,007-191,819-709,687-726,077-2,110,009-28,581,031-314,391,341

More Examples

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