Q: What are the factor combinations of the number 403,044,031?

 A:
Positive:   1 x 40304403113 x 3100338743 x 9373117373 x 1080547559 x 7210091933 x 2085074849 x 8311916039 x 25129
Negative: -1 x -403044031-13 x -31003387-43 x -9373117-373 x -1080547-559 x -721009-1933 x -208507-4849 x -83119-16039 x -25129


How do I find the factor combinations of the number 403,044,031?

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 403,044,031, 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.

1 403,044,031
-1 -403,044,031

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 403,044,031.

Example:
1 x 403,044,031 = 403,044,031
and
-1 x -403,044,031 = 403,044,031
Notice both answers equal 403,044,031

With that explanation out of the way, let's continue. Next, we take the number 403,044,031 and divide it by 2:

403,044,031 ÷ 2 = 201,522,015.5

If the quotient is a whole number, then 2 and 201,522,015.5 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:

1 403,044,031
-1 -403,044,031

Now, we try dividing 403,044,031 by 3:

403,044,031 ÷ 3 = 134,348,010.3333

If the quotient is a whole number, then 3 and 134,348,010.3333 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:

1 403,044,031
-1 -403,044,031

Let's try dividing by 4:

403,044,031 ÷ 4 = 100,761,007.75

If the quotient is a whole number, then 4 and 100,761,007.75 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:

1 403,044,031
-1 403,044,031
Keep dividing by the next highest number until you cannot divide anymore.

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

113433735591,9334,84916,03925,12983,119208,507721,0091,080,5479,373,11731,003,387403,044,031
-1-13-43-373-559-1,933-4,849-16,039-25,129-83,119-208,507-721,009-1,080,547-9,373,117-31,003,387-403,044,031

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