Q: What are the factor combinations of the number 137,704,565?

 A:
Positive:   1 x 1377045655 x 2754091323 x 598715537 x 3721745115 x 1197431185 x 744349851 x 1618154255 x 32363
Negative: -1 x -137704565-5 x -27540913-23 x -5987155-37 x -3721745-115 x -1197431-185 x -744349-851 x -161815-4255 x -32363


How do I find the factor combinations of the number 137,704,565?

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 137,704,565, 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.

1 137,704,565
-1 -137,704,565

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 137,704,565.

Example:
1 x 137,704,565 = 137,704,565
and
-1 x -137,704,565 = 137,704,565
Notice both answers equal 137,704,565

With that explanation out of the way, let's continue. Next, we take the number 137,704,565 and divide it by 2:

137,704,565 ÷ 2 = 68,852,282.5

If the quotient is a whole number, then 2 and 68,852,282.5 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:

1 137,704,565
-1 -137,704,565

Now, we try dividing 137,704,565 by 3:

137,704,565 ÷ 3 = 45,901,521.6667

If the quotient is a whole number, then 3 and 45,901,521.6667 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:

1 137,704,565
-1 -137,704,565

Let's try dividing by 4:

137,704,565 ÷ 4 = 34,426,141.25

If the quotient is a whole number, then 4 and 34,426,141.25 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:

1 137,704,565
-1 137,704,565
Keep dividing by the next highest number until you cannot divide anymore.

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

1523371151858514,25532,363161,815744,3491,197,4313,721,7455,987,15527,540,913137,704,565
-1-5-23-37-115-185-851-4,255-32,363-161,815-744,349-1,197,431-3,721,745-5,987,155-27,540,913-137,704,565

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