Q: What are the factor combinations of the number 135,775,367?

 A:
Positive:   1 x 1357753677 x 1939648113 x 1044425991 x 1492037857 x 1584311741 x 779875999 x 2263311141 x 12187
Negative: -1 x -135775367-7 x -19396481-13 x -10444259-91 x -1492037-857 x -158431-1741 x -77987-5999 x -22633-11141 x -12187


How do I find the factor combinations of the number 135,775,367?

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 135,775,367, 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.

1 135,775,367
-1 -135,775,367

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 135,775,367.

Example:
1 x 135,775,367 = 135,775,367
and
-1 x -135,775,367 = 135,775,367
Notice both answers equal 135,775,367

With that explanation out of the way, let's continue. Next, we take the number 135,775,367 and divide it by 2:

135,775,367 ÷ 2 = 67,887,683.5

If the quotient is a whole number, then 2 and 67,887,683.5 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:

1 135,775,367
-1 -135,775,367

Now, we try dividing 135,775,367 by 3:

135,775,367 ÷ 3 = 45,258,455.6667

If the quotient is a whole number, then 3 and 45,258,455.6667 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:

1 135,775,367
-1 -135,775,367

Let's try dividing by 4:

135,775,367 ÷ 4 = 33,943,841.75

If the quotient is a whole number, then 4 and 33,943,841.75 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:

1 135,775,367
-1 135,775,367
Keep dividing by the next highest number until you cannot divide anymore.

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

1713918571,7415,99911,14112,18722,63377,987158,4311,492,03710,444,25919,396,481135,775,367
-1-7-13-91-857-1,741-5,999-11,141-12,187-22,633-77,987-158,431-1,492,037-10,444,259-19,396,481-135,775,367

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