Q: What are the factor combinations of the number 45,365,635?

 A:
Positive:   1 x 453656355 x 90731277 x 648080519 x 238766535 x 129616195 x 477533133 x 341095665 x 68219
Negative: -1 x -45365635-5 x -9073127-7 x -6480805-19 x -2387665-35 x -1296161-95 x -477533-133 x -341095-665 x -68219


How do I find the factor combinations of the number 45,365,635?

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 45,365,635, 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 45,365,635
-1 -45,365,635

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 45,365,635.

Example:
1 x 45,365,635 = 45,365,635
and
-1 x -45,365,635 = 45,365,635
Notice both answers equal 45,365,635

With that explanation out of the way, let's continue. Next, we take the number 45,365,635 and divide it by 2:

45,365,635 ÷ 2 = 22,682,817.5

If the quotient is a whole number, then 2 and 22,682,817.5 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 45,365,635
-1 -45,365,635

Now, we try dividing 45,365,635 by 3:

45,365,635 ÷ 3 = 15,121,878.3333

If the quotient is a whole number, then 3 and 15,121,878.3333 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 45,365,635
-1 -45,365,635

Let's try dividing by 4:

45,365,635 ÷ 4 = 11,341,408.75

If the quotient is a whole number, then 4 and 11,341,408.75 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 45,365,635
-1 45,365,635
Keep dividing by the next highest number until you cannot divide anymore.

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

15719359513366568,219341,095477,5331,296,1612,387,6656,480,8059,073,12745,365,635
-1-5-7-19-35-95-133-665-68,219-341,095-477,533-1,296,161-2,387,665-6,480,805-9,073,127-45,365,635

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