Q: What are the factor combinations of the number 356,222,515?

 A:
Positive:   1 x 3562225155 x 7124450311 x 3238386529 x 1228353555 x 6476773145 x 2456707319 x 11166851595 x 223337
Negative: -1 x -356222515-5 x -71244503-11 x -32383865-29 x -12283535-55 x -6476773-145 x -2456707-319 x -1116685-1595 x -223337


How do I find the factor combinations of the number 356,222,515?

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 356,222,515, 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.

1 356,222,515
-1 -356,222,515

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 356,222,515.

Example:
1 x 356,222,515 = 356,222,515
and
-1 x -356,222,515 = 356,222,515
Notice both answers equal 356,222,515

With that explanation out of the way, let's continue. Next, we take the number 356,222,515 and divide it by 2:

356,222,515 ÷ 2 = 178,111,257.5

If the quotient is a whole number, then 2 and 178,111,257.5 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:

1 356,222,515
-1 -356,222,515

Now, we try dividing 356,222,515 by 3:

356,222,515 ÷ 3 = 118,740,838.3333

If the quotient is a whole number, then 3 and 118,740,838.3333 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:

1 356,222,515
-1 -356,222,515

Let's try dividing by 4:

356,222,515 ÷ 4 = 89,055,628.75

If the quotient is a whole number, then 4 and 89,055,628.75 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:

1 356,222,515
-1 356,222,515
Keep dividing by the next highest number until you cannot divide anymore.

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

151129551453191,595223,3371,116,6852,456,7076,476,77312,283,53532,383,86571,244,503356,222,515
-1-5-11-29-55-145-319-1,595-223,337-1,116,685-2,456,707-6,476,773-12,283,535-32,383,865-71,244,503-356,222,515

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