Q: What are the factor combinations of the number 137,377,445?

 A:
Positive:   1 x 1373774455 x 2747548979 x 1738955293 x 468865395 x 3477911187 x 1157351465 x 937735935 x 23147
Negative: -1 x -137377445-5 x -27475489-79 x -1738955-293 x -468865-395 x -347791-1187 x -115735-1465 x -93773-5935 x -23147


How do I find the factor combinations of the number 137,377,445?

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 137,377,445, 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.

1 137,377,445
-1 -137,377,445

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 137,377,445.

Example:
1 x 137,377,445 = 137,377,445
and
-1 x -137,377,445 = 137,377,445
Notice both answers equal 137,377,445

With that explanation out of the way, let's continue. Next, we take the number 137,377,445 and divide it by 2:

137,377,445 ÷ 2 = 68,688,722.5

If the quotient is a whole number, then 2 and 68,688,722.5 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:

1 137,377,445
-1 -137,377,445

Now, we try dividing 137,377,445 by 3:

137,377,445 ÷ 3 = 45,792,481.6667

If the quotient is a whole number, then 3 and 45,792,481.6667 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:

1 137,377,445
-1 -137,377,445

Let's try dividing by 4:

137,377,445 ÷ 4 = 34,344,361.25

If the quotient is a whole number, then 4 and 34,344,361.25 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:

1 137,377,445
-1 137,377,445
Keep dividing by the next highest number until you cannot divide anymore.

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

15792933951,1871,4655,93523,14793,773115,735347,791468,8651,738,95527,475,489137,377,445
-1-5-79-293-395-1,187-1,465-5,935-23,147-93,773-115,735-347,791-468,865-1,738,955-27,475,489-137,377,445

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