Q: What are the factor combinations of the number 48,367,025?

 A:
Positive:   1 x 483670255 x 96734057 x 690957525 x 193468135 x 1381915175 x 276383479 x 100975577 x 838252395 x 201952885 x 167653353 x 144254039 x 11975
Negative: -1 x -48367025-5 x -9673405-7 x -6909575-25 x -1934681-35 x -1381915-175 x -276383-479 x -100975-577 x -83825-2395 x -20195-2885 x -16765-3353 x -14425-4039 x -11975


How do I find the factor combinations of the number 48,367,025?

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 48,367,025, 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 48,367,025
-1 -48,367,025

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 48,367,025.

Example:
1 x 48,367,025 = 48,367,025
and
-1 x -48,367,025 = 48,367,025
Notice both answers equal 48,367,025

With that explanation out of the way, let's continue. Next, we take the number 48,367,025 and divide it by 2:

48,367,025 ÷ 2 = 24,183,512.5

If the quotient is a whole number, then 2 and 24,183,512.5 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 48,367,025
-1 -48,367,025

Now, we try dividing 48,367,025 by 3:

48,367,025 ÷ 3 = 16,122,341.6667

If the quotient is a whole number, then 3 and 16,122,341.6667 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 48,367,025
-1 -48,367,025

Let's try dividing by 4:

48,367,025 ÷ 4 = 12,091,756.25

If the quotient is a whole number, then 4 and 12,091,756.25 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 48,367,025
-1 48,367,025
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351754795772,3952,8853,3534,03911,97514,42516,76520,19583,825100,975276,3831,381,9151,934,6816,909,5759,673,40548,367,025
-1-5-7-25-35-175-479-577-2,395-2,885-3,353-4,039-11,975-14,425-16,765-20,195-83,825-100,975-276,383-1,381,915-1,934,681-6,909,575-9,673,405-48,367,025

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 48,367,025:


Ask a Question