Q: What are the factor combinations of the number 7,471,373?

 A:
Positive:   1 x 74713737 x 106733913 x 57472137 x 20192949 x 15247791 x 82103259 x 28847317 x 23569481 x 15533637 x 117291813 x 41212219 x 3367
Negative: -1 x -7471373-7 x -1067339-13 x -574721-37 x -201929-49 x -152477-91 x -82103-259 x -28847-317 x -23569-481 x -15533-637 x -11729-1813 x -4121-2219 x -3367


How do I find the factor combinations of the number 7,471,373?

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 7,471,373, 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 7,471,373
-1 -7,471,373

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 7,471,373.

Example:
1 x 7,471,373 = 7,471,373
and
-1 x -7,471,373 = 7,471,373
Notice both answers equal 7,471,373

With that explanation out of the way, let's continue. Next, we take the number 7,471,373 and divide it by 2:

7,471,373 ÷ 2 = 3,735,686.5

If the quotient is a whole number, then 2 and 3,735,686.5 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 7,471,373
-1 -7,471,373

Now, we try dividing 7,471,373 by 3:

7,471,373 ÷ 3 = 2,490,457.6667

If the quotient is a whole number, then 3 and 2,490,457.6667 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 7,471,373
-1 -7,471,373

Let's try dividing by 4:

7,471,373 ÷ 4 = 1,867,843.25

If the quotient is a whole number, then 4 and 1,867,843.25 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 7,471,373
-1 7,471,373
Keep dividing by the next highest number until you cannot divide anymore.

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

17133749912593174816371,8132,2193,3674,12111,72915,53323,56928,84782,103152,477201,929574,7211,067,3397,471,373
-1-7-13-37-49-91-259-317-481-637-1,813-2,219-3,367-4,121-11,729-15,533-23,569-28,847-82,103-152,477-201,929-574,721-1,067,339-7,471,373

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