Q: What are the factor combinations of the number 104,361,053?

 A:
Positive:   1 x 10436105319 x 549268729 x 359865737 x 2820569551 x 189403703 x 1484511073 x 972615119 x 20387
Negative: -1 x -104361053-19 x -5492687-29 x -3598657-37 x -2820569-551 x -189403-703 x -148451-1073 x -97261-5119 x -20387


How do I find the factor combinations of the number 104,361,053?

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 104,361,053, 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.

1 104,361,053
-1 -104,361,053

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 104,361,053.

Example:
1 x 104,361,053 = 104,361,053
and
-1 x -104,361,053 = 104,361,053
Notice both answers equal 104,361,053

With that explanation out of the way, let's continue. Next, we take the number 104,361,053 and divide it by 2:

104,361,053 ÷ 2 = 52,180,526.5

If the quotient is a whole number, then 2 and 52,180,526.5 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:

1 104,361,053
-1 -104,361,053

Now, we try dividing 104,361,053 by 3:

104,361,053 ÷ 3 = 34,787,017.6667

If the quotient is a whole number, then 3 and 34,787,017.6667 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:

1 104,361,053
-1 -104,361,053

Let's try dividing by 4:

104,361,053 ÷ 4 = 26,090,263.25

If the quotient is a whole number, then 4 and 26,090,263.25 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:

1 104,361,053
-1 104,361,053
Keep dividing by the next highest number until you cannot divide anymore.

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

11929375517031,0735,11920,38797,261148,451189,4032,820,5693,598,6575,492,687104,361,053
-1-19-29-37-551-703-1,073-5,119-20,387-97,261-148,451-189,403-2,820,569-3,598,657-5,492,687-104,361,053

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