Q: What are the factor combinations of the number 133,660,117?

 A:
Positive:   1 x 13366011719 x 703474353 x 2521889331 x 403807401 x 3333171007 x 1327316289 x 212537619 x 17543
Negative: -1 x -133660117-19 x -7034743-53 x -2521889-331 x -403807-401 x -333317-1007 x -132731-6289 x -21253-7619 x -17543


How do I find the factor combinations of the number 133,660,117?

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 133,660,117, 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.

1 133,660,117
-1 -133,660,117

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 133,660,117.

Example:
1 x 133,660,117 = 133,660,117
and
-1 x -133,660,117 = 133,660,117
Notice both answers equal 133,660,117

With that explanation out of the way, let's continue. Next, we take the number 133,660,117 and divide it by 2:

133,660,117 ÷ 2 = 66,830,058.5

If the quotient is a whole number, then 2 and 66,830,058.5 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:

1 133,660,117
-1 -133,660,117

Now, we try dividing 133,660,117 by 3:

133,660,117 ÷ 3 = 44,553,372.3333

If the quotient is a whole number, then 3 and 44,553,372.3333 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:

1 133,660,117
-1 -133,660,117

Let's try dividing by 4:

133,660,117 ÷ 4 = 33,415,029.25

If the quotient is a whole number, then 4 and 33,415,029.25 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:

1 133,660,117
-1 133,660,117
Keep dividing by the next highest number until you cannot divide anymore.

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

119533314011,0076,2897,61917,54321,253132,731333,317403,8072,521,8897,034,743133,660,117
-1-19-53-331-401-1,007-6,289-7,619-17,543-21,253-132,731-333,317-403,807-2,521,889-7,034,743-133,660,117

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