Q: What are the factor combinations of the number 45,173,843?

 A:
Positive:   1 x 4517384311 x 410671313 x 3474911103 x 438581143 x 3159011133 x 398711339 x 337373067 x 14729
Negative: -1 x -45173843-11 x -4106713-13 x -3474911-103 x -438581-143 x -315901-1133 x -39871-1339 x -33737-3067 x -14729


How do I find the factor combinations of the number 45,173,843?

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 45,173,843, 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 45,173,843
-1 -45,173,843

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 45,173,843.

Example:
1 x 45,173,843 = 45,173,843
and
-1 x -45,173,843 = 45,173,843
Notice both answers equal 45,173,843

With that explanation out of the way, let's continue. Next, we take the number 45,173,843 and divide it by 2:

45,173,843 ÷ 2 = 22,586,921.5

If the quotient is a whole number, then 2 and 22,586,921.5 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 45,173,843
-1 -45,173,843

Now, we try dividing 45,173,843 by 3:

45,173,843 ÷ 3 = 15,057,947.6667

If the quotient is a whole number, then 3 and 15,057,947.6667 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 45,173,843
-1 -45,173,843

Let's try dividing by 4:

45,173,843 ÷ 4 = 11,293,460.75

If the quotient is a whole number, then 4 and 11,293,460.75 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 45,173,843
-1 45,173,843
Keep dividing by the next highest number until you cannot divide anymore.

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

111131031431,1331,3393,06714,72933,73739,871315,901438,5813,474,9114,106,71345,173,843
-1-11-13-103-143-1,133-1,339-3,067-14,729-33,737-39,871-315,901-438,581-3,474,911-4,106,713-45,173,843

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