Q: What are the factor combinations of the number 48,744,875?

 A:
Positive:   1 x 487448755 x 974897525 x 194979547 x 1037125125 x 389959235 x 2074251175 x 414855875 x 8297
Negative: -1 x -48744875-5 x -9748975-25 x -1949795-47 x -1037125-125 x -389959-235 x -207425-1175 x -41485-5875 x -8297


How do I find the factor combinations of the number 48,744,875?

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 48,744,875, 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 48,744,875
-1 -48,744,875

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 48,744,875.

Example:
1 x 48,744,875 = 48,744,875
and
-1 x -48,744,875 = 48,744,875
Notice both answers equal 48,744,875

With that explanation out of the way, let's continue. Next, we take the number 48,744,875 and divide it by 2:

48,744,875 ÷ 2 = 24,372,437.5

If the quotient is a whole number, then 2 and 24,372,437.5 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 48,744,875
-1 -48,744,875

Now, we try dividing 48,744,875 by 3:

48,744,875 ÷ 3 = 16,248,291.6667

If the quotient is a whole number, then 3 and 16,248,291.6667 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 48,744,875
-1 -48,744,875

Let's try dividing by 4:

48,744,875 ÷ 4 = 12,186,218.75

If the quotient is a whole number, then 4 and 12,186,218.75 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 48,744,875
-1 48,744,875
Keep dividing by the next highest number until you cannot divide anymore.

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

1525471252351,1755,8758,29741,485207,425389,9591,037,1251,949,7959,748,97548,744,875
-1-5-25-47-125-235-1,175-5,875-8,297-41,485-207,425-389,959-1,037,125-1,949,795-9,748,975-48,744,875

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