Q: What are the factor combinations of the number 136,031,443?

 A:
Positive:   1 x 13603144353 x 256663179 x 1721917613 x 2219112809 x 484274187 x 32489
Negative: -1 x -136031443-53 x -2566631-79 x -1721917-613 x -221911-2809 x -48427-4187 x -32489


How do I find the factor combinations of the number 136,031,443?

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 136,031,443, 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.

1 136,031,443
-1 -136,031,443

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 136,031,443.

Example:
1 x 136,031,443 = 136,031,443
and
-1 x -136,031,443 = 136,031,443
Notice both answers equal 136,031,443

With that explanation out of the way, let's continue. Next, we take the number 136,031,443 and divide it by 2:

136,031,443 ÷ 2 = 68,015,721.5

If the quotient is a whole number, then 2 and 68,015,721.5 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:

1 136,031,443
-1 -136,031,443

Now, we try dividing 136,031,443 by 3:

136,031,443 ÷ 3 = 45,343,814.3333

If the quotient is a whole number, then 3 and 45,343,814.3333 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:

1 136,031,443
-1 -136,031,443

Let's try dividing by 4:

136,031,443 ÷ 4 = 34,007,860.75

If the quotient is a whole number, then 4 and 34,007,860.75 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:

1 136,031,443
-1 136,031,443
Keep dividing by the next highest number until you cannot divide anymore.

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

153796132,8094,18732,48948,427221,9111,721,9172,566,631136,031,443
-1-53-79-613-2,809-4,187-32,489-48,427-221,911-1,721,917-2,566,631-136,031,443

More Examples

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