Q: What are the factor combinations of the number 135,716,273?

 A:
Positive:   1 x 1357162737 x 1938803911 x 1233784341 x 331015377 x 1762549287 x 472879451 x 3009233157 x 42989
Negative: -1 x -135716273-7 x -19388039-11 x -12337843-41 x -3310153-77 x -1762549-287 x -472879-451 x -300923-3157 x -42989


How do I find the factor combinations of the number 135,716,273?

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 135,716,273, 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.

1 135,716,273
-1 -135,716,273

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 135,716,273.

Example:
1 x 135,716,273 = 135,716,273
and
-1 x -135,716,273 = 135,716,273
Notice both answers equal 135,716,273

With that explanation out of the way, let's continue. Next, we take the number 135,716,273 and divide it by 2:

135,716,273 ÷ 2 = 67,858,136.5

If the quotient is a whole number, then 2 and 67,858,136.5 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:

1 135,716,273
-1 -135,716,273

Now, we try dividing 135,716,273 by 3:

135,716,273 ÷ 3 = 45,238,757.6667

If the quotient is a whole number, then 3 and 45,238,757.6667 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:

1 135,716,273
-1 -135,716,273

Let's try dividing by 4:

135,716,273 ÷ 4 = 33,929,068.25

If the quotient is a whole number, then 4 and 33,929,068.25 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:

1 135,716,273
-1 135,716,273
Keep dividing by the next highest number until you cannot divide anymore.

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

171141772874513,15742,989300,923472,8791,762,5493,310,15312,337,84319,388,039135,716,273
-1-7-11-41-77-287-451-3,157-42,989-300,923-472,879-1,762,549-3,310,153-12,337,843-19,388,039-135,716,273

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