Q: What are the factor combinations of the number 135,430,015?

 A:
Positive:   1 x 1354300155 x 270860037 x 1934714535 x 386942971 x 1907465355 x 381493497 x 2724952485 x 54499
Negative: -1 x -135430015-5 x -27086003-7 x -19347145-35 x -3869429-71 x -1907465-355 x -381493-497 x -272495-2485 x -54499


How do I find the factor combinations of the number 135,430,015?

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 135,430,015, 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.

1 135,430,015
-1 -135,430,015

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 135,430,015.

Example:
1 x 135,430,015 = 135,430,015
and
-1 x -135,430,015 = 135,430,015
Notice both answers equal 135,430,015

With that explanation out of the way, let's continue. Next, we take the number 135,430,015 and divide it by 2:

135,430,015 ÷ 2 = 67,715,007.5

If the quotient is a whole number, then 2 and 67,715,007.5 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:

1 135,430,015
-1 -135,430,015

Now, we try dividing 135,430,015 by 3:

135,430,015 ÷ 3 = 45,143,338.3333

If the quotient is a whole number, then 3 and 45,143,338.3333 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:

1 135,430,015
-1 -135,430,015

Let's try dividing by 4:

135,430,015 ÷ 4 = 33,857,503.75

If the quotient is a whole number, then 4 and 33,857,503.75 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:

1 135,430,015
-1 135,430,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15735713554972,48554,499272,495381,4931,907,4653,869,42919,347,14527,086,003135,430,015
-1-5-7-35-71-355-497-2,485-54,499-272,495-381,493-1,907,465-3,869,429-19,347,145-27,086,003-135,430,015

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