Q: What are the factor combinations of the number 48,121,577?

 A:
Positive:   1 x 481215777 x 687451117 x 283068141 x 117369749 x 982073119 x 404383287 x 167671697 x 69041833 x 577691409 x 341532009 x 239534879 x 9863
Negative: -1 x -48121577-7 x -6874511-17 x -2830681-41 x -1173697-49 x -982073-119 x -404383-287 x -167671-697 x -69041-833 x -57769-1409 x -34153-2009 x -23953-4879 x -9863


How do I find the factor combinations of the number 48,121,577?

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 48,121,577, 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 48,121,577
-1 -48,121,577

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 48,121,577.

Example:
1 x 48,121,577 = 48,121,577
and
-1 x -48,121,577 = 48,121,577
Notice both answers equal 48,121,577

With that explanation out of the way, let's continue. Next, we take the number 48,121,577 and divide it by 2:

48,121,577 ÷ 2 = 24,060,788.5

If the quotient is a whole number, then 2 and 24,060,788.5 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 48,121,577
-1 -48,121,577

Now, we try dividing 48,121,577 by 3:

48,121,577 ÷ 3 = 16,040,525.6667

If the quotient is a whole number, then 3 and 16,040,525.6667 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 48,121,577
-1 -48,121,577

Let's try dividing by 4:

48,121,577 ÷ 4 = 12,030,394.25

If the quotient is a whole number, then 4 and 12,030,394.25 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 48,121,577
-1 48,121,577
Keep dividing by the next highest number until you cannot divide anymore.

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

171741491192876978331,4092,0094,8799,86323,95334,15357,76969,041167,671404,383982,0731,173,6972,830,6816,874,51148,121,577
-1-7-17-41-49-119-287-697-833-1,409-2,009-4,879-9,863-23,953-34,153-57,769-69,041-167,671-404,383-982,073-1,173,697-2,830,681-6,874,511-48,121,577

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