Q: What are the factor combinations of the number 123,762,145?

 A:
Positive:   1 x 1237621455 x 2475242913 x 952016565 x 1904033797 x 1552852389 x 518053985 x 3105710361 x 11945
Negative: -1 x -123762145-5 x -24752429-13 x -9520165-65 x -1904033-797 x -155285-2389 x -51805-3985 x -31057-10361 x -11945


How do I find the factor combinations of the number 123,762,145?

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 123,762,145, 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.

1 123,762,145
-1 -123,762,145

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 123,762,145.

Example:
1 x 123,762,145 = 123,762,145
and
-1 x -123,762,145 = 123,762,145
Notice both answers equal 123,762,145

With that explanation out of the way, let's continue. Next, we take the number 123,762,145 and divide it by 2:

123,762,145 ÷ 2 = 61,881,072.5

If the quotient is a whole number, then 2 and 61,881,072.5 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:

1 123,762,145
-1 -123,762,145

Now, we try dividing 123,762,145 by 3:

123,762,145 ÷ 3 = 41,254,048.3333

If the quotient is a whole number, then 3 and 41,254,048.3333 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:

1 123,762,145
-1 -123,762,145

Let's try dividing by 4:

123,762,145 ÷ 4 = 30,940,536.25

If the quotient is a whole number, then 4 and 30,940,536.25 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:

1 123,762,145
-1 123,762,145
Keep dividing by the next highest number until you cannot divide anymore.

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

1513657972,3893,98510,36111,94531,05751,805155,2851,904,0339,520,16524,752,429123,762,145
-1-5-13-65-797-2,389-3,985-10,361-11,945-31,057-51,805-155,285-1,904,033-9,520,165-24,752,429-123,762,145

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