Q: What are the factor combinations of the number 135,486,185?

 A:
Positive:   1 x 1354861855 x 2709723761 x 222108579 x 1715015305 x 444217395 x 3430034819 x 281155623 x 24095
Negative: -1 x -135486185-5 x -27097237-61 x -2221085-79 x -1715015-305 x -444217-395 x -343003-4819 x -28115-5623 x -24095


How do I find the factor combinations of the number 135,486,185?

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 135,486,185, 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.

1 135,486,185
-1 -135,486,185

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 135,486,185.

Example:
1 x 135,486,185 = 135,486,185
and
-1 x -135,486,185 = 135,486,185
Notice both answers equal 135,486,185

With that explanation out of the way, let's continue. Next, we take the number 135,486,185 and divide it by 2:

135,486,185 ÷ 2 = 67,743,092.5

If the quotient is a whole number, then 2 and 67,743,092.5 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:

1 135,486,185
-1 -135,486,185

Now, we try dividing 135,486,185 by 3:

135,486,185 ÷ 3 = 45,162,061.6667

If the quotient is a whole number, then 3 and 45,162,061.6667 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:

1 135,486,185
-1 -135,486,185

Let's try dividing by 4:

135,486,185 ÷ 4 = 33,871,546.25

If the quotient is a whole number, then 4 and 33,871,546.25 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:

1 135,486,185
-1 135,486,185
Keep dividing by the next highest number until you cannot divide anymore.

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

1561793053954,8195,62324,09528,115343,003444,2171,715,0152,221,08527,097,237135,486,185
-1-5-61-79-305-395-4,819-5,623-24,095-28,115-343,003-444,217-1,715,015-2,221,085-27,097,237-135,486,185

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