Q: What are the factor combinations of the number 255,564,001?

 A:
Positive:   1 x 2555640017 x 3650914311 x 2323309177 x 3319013997 x 2563333329 x 767696979 x 3661910967 x 23303
Negative: -1 x -255564001-7 x -36509143-11 x -23233091-77 x -3319013-997 x -256333-3329 x -76769-6979 x -36619-10967 x -23303


How do I find the factor combinations of the number 255,564,001?

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 255,564,001, 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.

1 255,564,001
-1 -255,564,001

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 255,564,001.

Example:
1 x 255,564,001 = 255,564,001
and
-1 x -255,564,001 = 255,564,001
Notice both answers equal 255,564,001

With that explanation out of the way, let's continue. Next, we take the number 255,564,001 and divide it by 2:

255,564,001 ÷ 2 = 127,782,000.5

If the quotient is a whole number, then 2 and 127,782,000.5 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:

1 255,564,001
-1 -255,564,001

Now, we try dividing 255,564,001 by 3:

255,564,001 ÷ 3 = 85,188,000.3333

If the quotient is a whole number, then 3 and 85,188,000.3333 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:

1 255,564,001
-1 -255,564,001

Let's try dividing by 4:

255,564,001 ÷ 4 = 63,891,000.25

If the quotient is a whole number, then 4 and 63,891,000.25 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:

1 255,564,001
-1 255,564,001
Keep dividing by the next highest number until you cannot divide anymore.

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

1711779973,3296,97910,96723,30336,61976,769256,3333,319,01323,233,09136,509,143255,564,001
-1-7-11-77-997-3,329-6,979-10,967-23,303-36,619-76,769-256,333-3,319,013-23,233,091-36,509,143-255,564,001

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