Q: What are the factor combinations of the number 45,540,565?

 A:
Positive:   1 x 455405655 x 91081137 x 650579535 x 1301159241 x 1889651205 x 377931687 x 269955399 x 8435
Negative: -1 x -45540565-5 x -9108113-7 x -6505795-35 x -1301159-241 x -188965-1205 x -37793-1687 x -26995-5399 x -8435


How do I find the factor combinations of the number 45,540,565?

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 45,540,565, 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 45,540,565
-1 -45,540,565

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 45,540,565.

Example:
1 x 45,540,565 = 45,540,565
and
-1 x -45,540,565 = 45,540,565
Notice both answers equal 45,540,565

With that explanation out of the way, let's continue. Next, we take the number 45,540,565 and divide it by 2:

45,540,565 ÷ 2 = 22,770,282.5

If the quotient is a whole number, then 2 and 22,770,282.5 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 45,540,565
-1 -45,540,565

Now, we try dividing 45,540,565 by 3:

45,540,565 ÷ 3 = 15,180,188.3333

If the quotient is a whole number, then 3 and 15,180,188.3333 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 45,540,565
-1 -45,540,565

Let's try dividing by 4:

45,540,565 ÷ 4 = 11,385,141.25

If the quotient is a whole number, then 4 and 11,385,141.25 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 45,540,565
-1 45,540,565
Keep dividing by the next highest number until you cannot divide anymore.

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

157352411,2051,6875,3998,43526,99537,793188,9651,301,1596,505,7959,108,11345,540,565
-1-5-7-35-241-1,205-1,687-5,399-8,435-26,995-37,793-188,965-1,301,159-6,505,795-9,108,113-45,540,565

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