Q: What are the factor combinations of the number 135,435,443?

 A:
Positive:   1 x 13543544311 x 1231231313 x 10418111109 x 1242527143 x 9471011199 x 1129571417 x 955798689 x 15587
Negative: -1 x -135435443-11 x -12312313-13 x -10418111-109 x -1242527-143 x -947101-1199 x -112957-1417 x -95579-8689 x -15587


How do I find the factor combinations of the number 135,435,443?

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 135,435,443, 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.

1 135,435,443
-1 -135,435,443

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 135,435,443.

Example:
1 x 135,435,443 = 135,435,443
and
-1 x -135,435,443 = 135,435,443
Notice both answers equal 135,435,443

With that explanation out of the way, let's continue. Next, we take the number 135,435,443 and divide it by 2:

135,435,443 ÷ 2 = 67,717,721.5

If the quotient is a whole number, then 2 and 67,717,721.5 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:

1 135,435,443
-1 -135,435,443

Now, we try dividing 135,435,443 by 3:

135,435,443 ÷ 3 = 45,145,147.6667

If the quotient is a whole number, then 3 and 45,145,147.6667 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:

1 135,435,443
-1 -135,435,443

Let's try dividing by 4:

135,435,443 ÷ 4 = 33,858,860.75

If the quotient is a whole number, then 4 and 33,858,860.75 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:

1 135,435,443
-1 135,435,443
Keep dividing by the next highest number until you cannot divide anymore.

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

111131091431,1991,4178,68915,58795,579112,957947,1011,242,52710,418,11112,312,313135,435,443
-1-11-13-109-143-1,199-1,417-8,689-15,587-95,579-112,957-947,101-1,242,527-10,418,111-12,312,313-135,435,443

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