Q: What are the factor combinations of the number 25,501,255?

 A:
Positive:   1 x 255012555 x 510025113 x 196163565 x 392327103 x 247585169 x 150895293 x 87035515 x 49517845 x 301791339 x 190451465 x 174073809 x 6695
Negative: -1 x -25501255-5 x -5100251-13 x -1961635-65 x -392327-103 x -247585-169 x -150895-293 x -87035-515 x -49517-845 x -30179-1339 x -19045-1465 x -17407-3809 x -6695


How do I find the factor combinations of the number 25,501,255?

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 25,501,255, 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 25,501,255
-1 -25,501,255

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 25,501,255.

Example:
1 x 25,501,255 = 25,501,255
and
-1 x -25,501,255 = 25,501,255
Notice both answers equal 25,501,255

With that explanation out of the way, let's continue. Next, we take the number 25,501,255 and divide it by 2:

25,501,255 ÷ 2 = 12,750,627.5

If the quotient is a whole number, then 2 and 12,750,627.5 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 25,501,255
-1 -25,501,255

Now, we try dividing 25,501,255 by 3:

25,501,255 ÷ 3 = 8,500,418.3333

If the quotient is a whole number, then 3 and 8,500,418.3333 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 25,501,255
-1 -25,501,255

Let's try dividing by 4:

25,501,255 ÷ 4 = 6,375,313.75

If the quotient is a whole number, then 4 and 6,375,313.75 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 25,501,255
-1 25,501,255
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651031692935158451,3391,4653,8096,69517,40719,04530,17949,51787,035150,895247,585392,3271,961,6355,100,25125,501,255
-1-5-13-65-103-169-293-515-845-1,339-1,465-3,809-6,695-17,407-19,045-30,179-49,517-87,035-150,895-247,585-392,327-1,961,635-5,100,251-25,501,255

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