Q: What are the factor combinations of the number 104,031,145?

 A:
Positive:   1 x 1040311455 x 2080622941 x 2537345205 x 507469683 x 152315743 x 1400153415 x 304633715 x 28003
Negative: -1 x -104031145-5 x -20806229-41 x -2537345-205 x -507469-683 x -152315-743 x -140015-3415 x -30463-3715 x -28003


How do I find the factor combinations of the number 104,031,145?

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 104,031,145, 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.

1 104,031,145
-1 -104,031,145

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 104,031,145.

Example:
1 x 104,031,145 = 104,031,145
and
-1 x -104,031,145 = 104,031,145
Notice both answers equal 104,031,145

With that explanation out of the way, let's continue. Next, we take the number 104,031,145 and divide it by 2:

104,031,145 ÷ 2 = 52,015,572.5

If the quotient is a whole number, then 2 and 52,015,572.5 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:

1 104,031,145
-1 -104,031,145

Now, we try dividing 104,031,145 by 3:

104,031,145 ÷ 3 = 34,677,048.3333

If the quotient is a whole number, then 3 and 34,677,048.3333 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:

1 104,031,145
-1 -104,031,145

Let's try dividing by 4:

104,031,145 ÷ 4 = 26,007,786.25

If the quotient is a whole number, then 4 and 26,007,786.25 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:

1 104,031,145
-1 104,031,145
Keep dividing by the next highest number until you cannot divide anymore.

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

15412056837433,4153,71528,00330,463140,015152,315507,4692,537,34520,806,229104,031,145
-1-5-41-205-683-743-3,415-3,715-28,003-30,463-140,015-152,315-507,469-2,537,345-20,806,229-104,031,145

More Examples

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