Q: What are the factor combinations of the number 8,741,473?

 A:
Positive:   1 x 874147313 x 67242131 x 281983109 x 80197199 x 43927403 x 216911417 x 61692587 x 3379
Negative: -1 x -8741473-13 x -672421-31 x -281983-109 x -80197-199 x -43927-403 x -21691-1417 x -6169-2587 x -3379


How do I find the factor combinations of the number 8,741,473?

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 8,741,473, 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 8,741,473
-1 -8,741,473

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 8,741,473.

Example:
1 x 8,741,473 = 8,741,473
and
-1 x -8,741,473 = 8,741,473
Notice both answers equal 8,741,473

With that explanation out of the way, let's continue. Next, we take the number 8,741,473 and divide it by 2:

8,741,473 ÷ 2 = 4,370,736.5

If the quotient is a whole number, then 2 and 4,370,736.5 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 8,741,473
-1 -8,741,473

Now, we try dividing 8,741,473 by 3:

8,741,473 ÷ 3 = 2,913,824.3333

If the quotient is a whole number, then 3 and 2,913,824.3333 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 8,741,473
-1 -8,741,473

Let's try dividing by 4:

8,741,473 ÷ 4 = 2,185,368.25

If the quotient is a whole number, then 4 and 2,185,368.25 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 8,741,473
-1 8,741,473
Keep dividing by the next highest number until you cannot divide anymore.

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

113311091994031,4172,5873,3796,16921,69143,92780,197281,983672,4218,741,473
-1-13-31-109-199-403-1,417-2,587-3,379-6,169-21,691-43,927-80,197-281,983-672,421-8,741,473

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