Q: What are the factor combinations of the number 135,616,463?

 A:
Positive:   1 x 13561646317 x 79774391229 x 1103476491 x 20893
Negative: -1 x -135616463-17 x -7977439-1229 x -110347-6491 x -20893


How do I find the factor combinations of the number 135,616,463?

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 135,616,463, 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.

1 135,616,463
-1 -135,616,463

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 135,616,463.

Example:
1 x 135,616,463 = 135,616,463
and
-1 x -135,616,463 = 135,616,463
Notice both answers equal 135,616,463

With that explanation out of the way, let's continue. Next, we take the number 135,616,463 and divide it by 2:

135,616,463 ÷ 2 = 67,808,231.5

If the quotient is a whole number, then 2 and 67,808,231.5 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:

1 135,616,463
-1 -135,616,463

Now, we try dividing 135,616,463 by 3:

135,616,463 ÷ 3 = 45,205,487.6667

If the quotient is a whole number, then 3 and 45,205,487.6667 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:

1 135,616,463
-1 -135,616,463

Let's try dividing by 4:

135,616,463 ÷ 4 = 33,904,115.75

If the quotient is a whole number, then 4 and 33,904,115.75 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:

1 135,616,463
-1 135,616,463
Keep dividing by the next highest number until you cannot divide anymore.

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

1171,2296,49120,893110,3477,977,439135,616,463
-1-17-1,229-6,491-20,893-110,347-7,977,439-135,616,463

More Examples

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