Q: What are the factor combinations of the number 255,055,745?

 A:
Positive:   1 x 2550557455 x 510111497 x 3643653535 x 7287307211 x 12087951055 x 2417591477 x 1726857385 x 34537
Negative: -1 x -255055745-5 x -51011149-7 x -36436535-35 x -7287307-211 x -1208795-1055 x -241759-1477 x -172685-7385 x -34537


How do I find the factor combinations of the number 255,055,745?

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 255,055,745, 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.

1 255,055,745
-1 -255,055,745

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 255,055,745.

Example:
1 x 255,055,745 = 255,055,745
and
-1 x -255,055,745 = 255,055,745
Notice both answers equal 255,055,745

With that explanation out of the way, let's continue. Next, we take the number 255,055,745 and divide it by 2:

255,055,745 ÷ 2 = 127,527,872.5

If the quotient is a whole number, then 2 and 127,527,872.5 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:

1 255,055,745
-1 -255,055,745

Now, we try dividing 255,055,745 by 3:

255,055,745 ÷ 3 = 85,018,581.6667

If the quotient is a whole number, then 3 and 85,018,581.6667 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:

1 255,055,745
-1 -255,055,745

Let's try dividing by 4:

255,055,745 ÷ 4 = 63,763,936.25

If the quotient is a whole number, then 4 and 63,763,936.25 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:

1 255,055,745
-1 255,055,745
Keep dividing by the next highest number until you cannot divide anymore.

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

157352111,0551,4777,38534,537172,685241,7591,208,7957,287,30736,436,53551,011,149255,055,745
-1-5-7-35-211-1,055-1,477-7,385-34,537-172,685-241,759-1,208,795-7,287,307-36,436,535-51,011,149-255,055,745

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