Q: What are the factor combinations of the number 305,560,387?

 A:
Positive:   1 x 30556038711 x 2777821779 x 3867853227 x 1346081869 x 3516231549 x 1972632497 x 12237117039 x 17933
Negative: -1 x -305560387-11 x -27778217-79 x -3867853-227 x -1346081-869 x -351623-1549 x -197263-2497 x -122371-17039 x -17933


How do I find the factor combinations of the number 305,560,387?

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 305,560,387, 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.

1 305,560,387
-1 -305,560,387

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 305,560,387.

Example:
1 x 305,560,387 = 305,560,387
and
-1 x -305,560,387 = 305,560,387
Notice both answers equal 305,560,387

With that explanation out of the way, let's continue. Next, we take the number 305,560,387 and divide it by 2:

305,560,387 ÷ 2 = 152,780,193.5

If the quotient is a whole number, then 2 and 152,780,193.5 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:

1 305,560,387
-1 -305,560,387

Now, we try dividing 305,560,387 by 3:

305,560,387 ÷ 3 = 101,853,462.3333

If the quotient is a whole number, then 3 and 101,853,462.3333 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:

1 305,560,387
-1 -305,560,387

Let's try dividing by 4:

305,560,387 ÷ 4 = 76,390,096.75

If the quotient is a whole number, then 4 and 76,390,096.75 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:

1 305,560,387
-1 305,560,387
Keep dividing by the next highest number until you cannot divide anymore.

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

111792278691,5492,49717,03917,933122,371197,263351,6231,346,0813,867,85327,778,217305,560,387
-1-11-79-227-869-1,549-2,497-17,039-17,933-122,371-197,263-351,623-1,346,081-3,867,853-27,778,217-305,560,387

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