Q: What are the factor combinations of the number 49,480,775?

 A:
Positive:   1 x 494807755 x 989615525 x 1979231367 x 1348251835 x 269655393 x 9175
Negative: -1 x -49480775-5 x -9896155-25 x -1979231-367 x -134825-1835 x -26965-5393 x -9175


How do I find the factor combinations of the number 49,480,775?

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 49,480,775, 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 49,480,775
-1 -49,480,775

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 49,480,775.

Example:
1 x 49,480,775 = 49,480,775
and
-1 x -49,480,775 = 49,480,775
Notice both answers equal 49,480,775

With that explanation out of the way, let's continue. Next, we take the number 49,480,775 and divide it by 2:

49,480,775 ÷ 2 = 24,740,387.5

If the quotient is a whole number, then 2 and 24,740,387.5 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 49,480,775
-1 -49,480,775

Now, we try dividing 49,480,775 by 3:

49,480,775 ÷ 3 = 16,493,591.6667

If the quotient is a whole number, then 3 and 16,493,591.6667 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 49,480,775
-1 -49,480,775

Let's try dividing by 4:

49,480,775 ÷ 4 = 12,370,193.75

If the quotient is a whole number, then 4 and 12,370,193.75 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 49,480,775
-1 49,480,775
Keep dividing by the next highest number until you cannot divide anymore.

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

15253671,8355,3939,17526,965134,8251,979,2319,896,15549,480,775
-1-5-25-367-1,835-5,393-9,175-26,965-134,825-1,979,231-9,896,155-49,480,775

More Examples

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