Q: What are the factor combinations of the number 356,123,015?

 A:
Positive:   1 x 3561230155 x 71224603103 x 3457505433 x 822455515 x 6915011597 x 2229952165 x 1644917985 x 44599
Negative: -1 x -356123015-5 x -71224603-103 x -3457505-433 x -822455-515 x -691501-1597 x -222995-2165 x -164491-7985 x -44599


How do I find the factor combinations of the number 356,123,015?

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 356,123,015, 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.

1 356,123,015
-1 -356,123,015

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 356,123,015.

Example:
1 x 356,123,015 = 356,123,015
and
-1 x -356,123,015 = 356,123,015
Notice both answers equal 356,123,015

With that explanation out of the way, let's continue. Next, we take the number 356,123,015 and divide it by 2:

356,123,015 ÷ 2 = 178,061,507.5

If the quotient is a whole number, then 2 and 178,061,507.5 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:

1 356,123,015
-1 -356,123,015

Now, we try dividing 356,123,015 by 3:

356,123,015 ÷ 3 = 118,707,671.6667

If the quotient is a whole number, then 3 and 118,707,671.6667 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:

1 356,123,015
-1 -356,123,015

Let's try dividing by 4:

356,123,015 ÷ 4 = 89,030,753.75

If the quotient is a whole number, then 4 and 89,030,753.75 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:

1 356,123,015
-1 356,123,015
Keep dividing by the next highest number until you cannot divide anymore.

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

151034335151,5972,1657,98544,599164,491222,995691,501822,4553,457,50571,224,603356,123,015
-1-5-103-433-515-1,597-2,165-7,985-44,599-164,491-222,995-691,501-822,455-3,457,505-71,224,603-356,123,015

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