Q: What are the factor combinations of the number 382,767,931?

 A:
Positive:   1 x 3827679317 x 5468113313 x 2944368791 x 4206241169 x 22648991183 x 3235572197 x 17422315379 x 24889
Negative: -1 x -382767931-7 x -54681133-13 x -29443687-91 x -4206241-169 x -2264899-1183 x -323557-2197 x -174223-15379 x -24889


How do I find the factor combinations of the number 382,767,931?

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 382,767,931, 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.

1 382,767,931
-1 -382,767,931

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 382,767,931.

Example:
1 x 382,767,931 = 382,767,931
and
-1 x -382,767,931 = 382,767,931
Notice both answers equal 382,767,931

With that explanation out of the way, let's continue. Next, we take the number 382,767,931 and divide it by 2:

382,767,931 ÷ 2 = 191,383,965.5

If the quotient is a whole number, then 2 and 191,383,965.5 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:

1 382,767,931
-1 -382,767,931

Now, we try dividing 382,767,931 by 3:

382,767,931 ÷ 3 = 127,589,310.3333

If the quotient is a whole number, then 3 and 127,589,310.3333 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:

1 382,767,931
-1 -382,767,931

Let's try dividing by 4:

382,767,931 ÷ 4 = 95,691,982.75

If the quotient is a whole number, then 4 and 95,691,982.75 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:

1 382,767,931
-1 382,767,931
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911691,1832,19715,37924,889174,223323,5572,264,8994,206,24129,443,68754,681,133382,767,931
-1-7-13-91-169-1,183-2,197-15,379-24,889-174,223-323,557-2,264,899-4,206,241-29,443,687-54,681,133-382,767,931

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