Q: What are the factor combinations of the number 132,321,415?

 A:
Positive:   1 x 1323214155 x 2646428319 x 696428523 x 575310595 x 1392857115 x 1150621437 x 302795529 x 2501352185 x 605592633 x 502552645 x 5002710051 x 13165
Negative: -1 x -132321415-5 x -26464283-19 x -6964285-23 x -5753105-95 x -1392857-115 x -1150621-437 x -302795-529 x -250135-2185 x -60559-2633 x -50255-2645 x -50027-10051 x -13165


How do I find the factor combinations of the number 132,321,415?

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 132,321,415, 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.

1 132,321,415
-1 -132,321,415

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 132,321,415.

Example:
1 x 132,321,415 = 132,321,415
and
-1 x -132,321,415 = 132,321,415
Notice both answers equal 132,321,415

With that explanation out of the way, let's continue. Next, we take the number 132,321,415 and divide it by 2:

132,321,415 ÷ 2 = 66,160,707.5

If the quotient is a whole number, then 2 and 66,160,707.5 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:

1 132,321,415
-1 -132,321,415

Now, we try dividing 132,321,415 by 3:

132,321,415 ÷ 3 = 44,107,138.3333

If the quotient is a whole number, then 3 and 44,107,138.3333 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:

1 132,321,415
-1 -132,321,415

Let's try dividing by 4:

132,321,415 ÷ 4 = 33,080,353.75

If the quotient is a whole number, then 4 and 33,080,353.75 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:

1 132,321,415
-1 132,321,415
Keep dividing by the next highest number until you cannot divide anymore.

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

151923951154375292,1852,6332,64510,05113,16550,02750,25560,559250,135302,7951,150,6211,392,8575,753,1056,964,28526,464,283132,321,415
-1-5-19-23-95-115-437-529-2,185-2,633-2,645-10,051-13,165-50,027-50,255-60,559-250,135-302,795-1,150,621-1,392,857-5,753,105-6,964,285-26,464,283-132,321,415

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