Q: What are the factor combinations of the number 117,347,725?

 A:
Positive:   1 x 1173477255 x 2346954511 x 1066797523 x 510207525 x 469390955 x 2133595115 x 1020415253 x 463825275 x 426719575 x 2040831265 x 927656325 x 18553
Negative: -1 x -117347725-5 x -23469545-11 x -10667975-23 x -5102075-25 x -4693909-55 x -2133595-115 x -1020415-253 x -463825-275 x -426719-575 x -204083-1265 x -92765-6325 x -18553


How do I find the factor combinations of the number 117,347,725?

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 117,347,725, 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.

1 117,347,725
-1 -117,347,725

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 117,347,725.

Example:
1 x 117,347,725 = 117,347,725
and
-1 x -117,347,725 = 117,347,725
Notice both answers equal 117,347,725

With that explanation out of the way, let's continue. Next, we take the number 117,347,725 and divide it by 2:

117,347,725 ÷ 2 = 58,673,862.5

If the quotient is a whole number, then 2 and 58,673,862.5 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:

1 117,347,725
-1 -117,347,725

Now, we try dividing 117,347,725 by 3:

117,347,725 ÷ 3 = 39,115,908.3333

If the quotient is a whole number, then 3 and 39,115,908.3333 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:

1 117,347,725
-1 -117,347,725

Let's try dividing by 4:

117,347,725 ÷ 4 = 29,336,931.25

If the quotient is a whole number, then 4 and 29,336,931.25 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:

1 117,347,725
-1 117,347,725
Keep dividing by the next highest number until you cannot divide anymore.

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

15112325551152532755751,2656,32518,55392,765204,083426,719463,8251,020,4152,133,5954,693,9095,102,07510,667,97523,469,545117,347,725
-1-5-11-23-25-55-115-253-275-575-1,265-6,325-18,553-92,765-204,083-426,719-463,825-1,020,415-2,133,595-4,693,909-5,102,075-10,667,975-23,469,545-117,347,725

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