Q: What are the factor combinations of the number 48,215,875?

 A:
Positive:   1 x 482158755 x 964317525 x 1928635125 x 385727499 x 96625773 x 623752495 x 193253865 x 12475
Negative: -1 x -48215875-5 x -9643175-25 x -1928635-125 x -385727-499 x -96625-773 x -62375-2495 x -19325-3865 x -12475


How do I find the factor combinations of the number 48,215,875?

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 48,215,875, 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 48,215,875
-1 -48,215,875

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 48,215,875.

Example:
1 x 48,215,875 = 48,215,875
and
-1 x -48,215,875 = 48,215,875
Notice both answers equal 48,215,875

With that explanation out of the way, let's continue. Next, we take the number 48,215,875 and divide it by 2:

48,215,875 ÷ 2 = 24,107,937.5

If the quotient is a whole number, then 2 and 24,107,937.5 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 48,215,875
-1 -48,215,875

Now, we try dividing 48,215,875 by 3:

48,215,875 ÷ 3 = 16,071,958.3333

If the quotient is a whole number, then 3 and 16,071,958.3333 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 48,215,875
-1 -48,215,875

Let's try dividing by 4:

48,215,875 ÷ 4 = 12,053,968.75

If the quotient is a whole number, then 4 and 12,053,968.75 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 48,215,875
-1 48,215,875
Keep dividing by the next highest number until you cannot divide anymore.

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

15251254997732,4953,86512,47519,32562,37596,625385,7271,928,6359,643,17548,215,875
-1-5-25-125-499-773-2,495-3,865-12,475-19,325-62,375-96,625-385,727-1,928,635-9,643,175-48,215,875

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