Q: What are the factor combinations of the number 137,334,043?

 A:
Positive:   1 x 1373340437 x 1961914911 x 1248491377 x 1783559101 x 1359743707 x 1942491111 x 1236137777 x 17659
Negative: -1 x -137334043-7 x -19619149-11 x -12484913-77 x -1783559-101 x -1359743-707 x -194249-1111 x -123613-7777 x -17659


How do I find the factor combinations of the number 137,334,043?

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 137,334,043, 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.

1 137,334,043
-1 -137,334,043

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 137,334,043.

Example:
1 x 137,334,043 = 137,334,043
and
-1 x -137,334,043 = 137,334,043
Notice both answers equal 137,334,043

With that explanation out of the way, let's continue. Next, we take the number 137,334,043 and divide it by 2:

137,334,043 ÷ 2 = 68,667,021.5

If the quotient is a whole number, then 2 and 68,667,021.5 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:

1 137,334,043
-1 -137,334,043

Now, we try dividing 137,334,043 by 3:

137,334,043 ÷ 3 = 45,778,014.3333

If the quotient is a whole number, then 3 and 45,778,014.3333 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:

1 137,334,043
-1 -137,334,043

Let's try dividing by 4:

137,334,043 ÷ 4 = 34,333,510.75

If the quotient is a whole number, then 4 and 34,333,510.75 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:

1 137,334,043
-1 137,334,043
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771017071,1117,77717,659123,613194,2491,359,7431,783,55912,484,91319,619,149137,334,043
-1-7-11-77-101-707-1,111-7,777-17,659-123,613-194,249-1,359,743-1,783,559-12,484,913-19,619,149-137,334,043

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