Q: What are the factor combinations of the number 48,237,655?

 A:
Positive:   1 x 482376555 x 964753167 x 719965311 x 155105335 x 143993463 x 1041851555 x 310212315 x 20837
Negative: -1 x -48237655-5 x -9647531-67 x -719965-311 x -155105-335 x -143993-463 x -104185-1555 x -31021-2315 x -20837


How do I find the factor combinations of the number 48,237,655?

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 48,237,655, 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 48,237,655
-1 -48,237,655

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 48,237,655.

Example:
1 x 48,237,655 = 48,237,655
and
-1 x -48,237,655 = 48,237,655
Notice both answers equal 48,237,655

With that explanation out of the way, let's continue. Next, we take the number 48,237,655 and divide it by 2:

48,237,655 ÷ 2 = 24,118,827.5

If the quotient is a whole number, then 2 and 24,118,827.5 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 48,237,655
-1 -48,237,655

Now, we try dividing 48,237,655 by 3:

48,237,655 ÷ 3 = 16,079,218.3333

If the quotient is a whole number, then 3 and 16,079,218.3333 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 48,237,655
-1 -48,237,655

Let's try dividing by 4:

48,237,655 ÷ 4 = 12,059,413.75

If the quotient is a whole number, then 4 and 12,059,413.75 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 48,237,655
-1 48,237,655
Keep dividing by the next highest number until you cannot divide anymore.

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

15673113354631,5552,31520,83731,021104,185143,993155,105719,9659,647,53148,237,655
-1-5-67-311-335-463-1,555-2,315-20,837-31,021-104,185-143,993-155,105-719,965-9,647,531-48,237,655

More Examples

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