Q: What are the factor combinations of the number 132,014,135?

 A:
Positive:   1 x 1320141355 x 2640282711 x 1200128523 x 573974555 x 240025779 x 1671065115 x 1147949253 x 521795395 x 334213869 x 1519151265 x 1043591321 x 999351817 x 726554345 x 303836605 x 199879085 x 14531
Negative: -1 x -132014135-5 x -26402827-11 x -12001285-23 x -5739745-55 x -2400257-79 x -1671065-115 x -1147949-253 x -521795-395 x -334213-869 x -151915-1265 x -104359-1321 x -99935-1817 x -72655-4345 x -30383-6605 x -19987-9085 x -14531


How do I find the factor combinations of the number 132,014,135?

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 132,014,135, 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.

1 132,014,135
-1 -132,014,135

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 132,014,135.

Example:
1 x 132,014,135 = 132,014,135
and
-1 x -132,014,135 = 132,014,135
Notice both answers equal 132,014,135

With that explanation out of the way, let's continue. Next, we take the number 132,014,135 and divide it by 2:

132,014,135 ÷ 2 = 66,007,067.5

If the quotient is a whole number, then 2 and 66,007,067.5 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:

1 132,014,135
-1 -132,014,135

Now, we try dividing 132,014,135 by 3:

132,014,135 ÷ 3 = 44,004,711.6667

If the quotient is a whole number, then 3 and 44,004,711.6667 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:

1 132,014,135
-1 -132,014,135

Let's try dividing by 4:

132,014,135 ÷ 4 = 33,003,533.75

If the quotient is a whole number, then 4 and 33,003,533.75 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:

1 132,014,135
-1 132,014,135
Keep dividing by the next highest number until you cannot divide anymore.

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

15112355791152533958691,2651,3211,8174,3456,6059,08514,53119,98730,38372,65599,935104,359151,915334,213521,7951,147,9491,671,0652,400,2575,739,74512,001,28526,402,827132,014,135
-1-5-11-23-55-79-115-253-395-869-1,265-1,321-1,817-4,345-6,605-9,085-14,531-19,987-30,383-72,655-99,935-104,359-151,915-334,213-521,795-1,147,949-1,671,065-2,400,257-5,739,745-12,001,285-26,402,827-132,014,135

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