Q: What are the factor combinations of the number 741,380,137?

 A:
Positive:   1 x 74138013723 x 3223391937 x 20037301233 x 3181889851 x 8711873739 x 1982835359 x 1383438621 x 85997
Negative: -1 x -741380137-23 x -32233919-37 x -20037301-233 x -3181889-851 x -871187-3739 x -198283-5359 x -138343-8621 x -85997


How do I find the factor combinations of the number 741,380,137?

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 741,380,137, 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.

1 741,380,137
-1 -741,380,137

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 741,380,137.

Example:
1 x 741,380,137 = 741,380,137
and
-1 x -741,380,137 = 741,380,137
Notice both answers equal 741,380,137

With that explanation out of the way, let's continue. Next, we take the number 741,380,137 and divide it by 2:

741,380,137 ÷ 2 = 370,690,068.5

If the quotient is a whole number, then 2 and 370,690,068.5 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:

1 741,380,137
-1 -741,380,137

Now, we try dividing 741,380,137 by 3:

741,380,137 ÷ 3 = 247,126,712.3333

If the quotient is a whole number, then 3 and 247,126,712.3333 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:

1 741,380,137
-1 -741,380,137

Let's try dividing by 4:

741,380,137 ÷ 4 = 185,345,034.25

If the quotient is a whole number, then 4 and 185,345,034.25 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:

1 741,380,137
-1 741,380,137
Keep dividing by the next highest number until you cannot divide anymore.

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

123372338513,7395,3598,62185,997138,343198,283871,1873,181,88920,037,30132,233,919741,380,137
-1-23-37-233-851-3,739-5,359-8,621-85,997-138,343-198,283-871,187-3,181,889-20,037,301-32,233,919-741,380,137

More Examples

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