Q: What are the factor combinations of the number 136,436,363?

 A:
Positive:   1 x 1364363637 x 1949090931 x 440117353 x 2574271217 x 628739371 x 3677531643 x 8304111501 x 11863
Negative: -1 x -136436363-7 x -19490909-31 x -4401173-53 x -2574271-217 x -628739-371 x -367753-1643 x -83041-11501 x -11863


How do I find the factor combinations of the number 136,436,363?

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 136,436,363, 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.

1 136,436,363
-1 -136,436,363

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 136,436,363.

Example:
1 x 136,436,363 = 136,436,363
and
-1 x -136,436,363 = 136,436,363
Notice both answers equal 136,436,363

With that explanation out of the way, let's continue. Next, we take the number 136,436,363 and divide it by 2:

136,436,363 ÷ 2 = 68,218,181.5

If the quotient is a whole number, then 2 and 68,218,181.5 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:

1 136,436,363
-1 -136,436,363

Now, we try dividing 136,436,363 by 3:

136,436,363 ÷ 3 = 45,478,787.6667

If the quotient is a whole number, then 3 and 45,478,787.6667 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:

1 136,436,363
-1 -136,436,363

Let's try dividing by 4:

136,436,363 ÷ 4 = 34,109,090.75

If the quotient is a whole number, then 4 and 34,109,090.75 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:

1 136,436,363
-1 136,436,363
Keep dividing by the next highest number until you cannot divide anymore.

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

1731532173711,64311,50111,86383,041367,753628,7392,574,2714,401,17319,490,909136,436,363
-1-7-31-53-217-371-1,643-11,501-11,863-83,041-367,753-628,739-2,574,271-4,401,173-19,490,909-136,436,363

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 136,436,363:


Ask a Question