Q: What are the factor combinations of the number 264,373,207?

 A:
Positive:   1 x 2643732077 x 3776760141 x 644812761 x 4333987287 x 921161427 x 6191412501 x 10570715101 x 17507
Negative: -1 x -264373207-7 x -37767601-41 x -6448127-61 x -4333987-287 x -921161-427 x -619141-2501 x -105707-15101 x -17507


How do I find the factor combinations of the number 264,373,207?

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 264,373,207, 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.

1 264,373,207
-1 -264,373,207

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 264,373,207.

Example:
1 x 264,373,207 = 264,373,207
and
-1 x -264,373,207 = 264,373,207
Notice both answers equal 264,373,207

With that explanation out of the way, let's continue. Next, we take the number 264,373,207 and divide it by 2:

264,373,207 ÷ 2 = 132,186,603.5

If the quotient is a whole number, then 2 and 132,186,603.5 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:

1 264,373,207
-1 -264,373,207

Now, we try dividing 264,373,207 by 3:

264,373,207 ÷ 3 = 88,124,402.3333

If the quotient is a whole number, then 3 and 88,124,402.3333 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:

1 264,373,207
-1 -264,373,207

Let's try dividing by 4:

264,373,207 ÷ 4 = 66,093,301.75

If the quotient is a whole number, then 4 and 66,093,301.75 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:

1 264,373,207
-1 264,373,207
Keep dividing by the next highest number until you cannot divide anymore.

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

1741612874272,50115,10117,507105,707619,141921,1614,333,9876,448,12737,767,601264,373,207
-1-7-41-61-287-427-2,501-15,101-17,507-105,707-619,141-921,161-4,333,987-6,448,127-37,767,601-264,373,207

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