Q: What are the factor combinations of the number 136,412,425?

 A:
Positive:   1 x 1364124255 x 2728248523 x 593097525 x 545649759 x 2312075115 x 1186195295 x 462415575 x 2372391357 x 1005251475 x 924834021 x 339256785 x 20105
Negative: -1 x -136412425-5 x -27282485-23 x -5930975-25 x -5456497-59 x -2312075-115 x -1186195-295 x -462415-575 x -237239-1357 x -100525-1475 x -92483-4021 x -33925-6785 x -20105


How do I find the factor combinations of the number 136,412,425?

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 136,412,425, 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.

1 136,412,425
-1 -136,412,425

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 136,412,425.

Example:
1 x 136,412,425 = 136,412,425
and
-1 x -136,412,425 = 136,412,425
Notice both answers equal 136,412,425

With that explanation out of the way, let's continue. Next, we take the number 136,412,425 and divide it by 2:

136,412,425 ÷ 2 = 68,206,212.5

If the quotient is a whole number, then 2 and 68,206,212.5 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:

1 136,412,425
-1 -136,412,425

Now, we try dividing 136,412,425 by 3:

136,412,425 ÷ 3 = 45,470,808.3333

If the quotient is a whole number, then 3 and 45,470,808.3333 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:

1 136,412,425
-1 -136,412,425

Let's try dividing by 4:

136,412,425 ÷ 4 = 34,103,106.25

If the quotient is a whole number, then 4 and 34,103,106.25 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:

1 136,412,425
-1 136,412,425
Keep dividing by the next highest number until you cannot divide anymore.

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

152325591152955751,3571,4754,0216,78520,10533,92592,483100,525237,239462,4151,186,1952,312,0755,456,4975,930,97527,282,485136,412,425
-1-5-23-25-59-115-295-575-1,357-1,475-4,021-6,785-20,105-33,925-92,483-100,525-237,239-462,415-1,186,195-2,312,075-5,456,497-5,930,975-27,282,485-136,412,425

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