Q: What are the factor combinations of the number 220,401,515?

 A:
Positive:   1 x 2204015155 x 4408030317 x 1296479585 x 2592959127 x 1735445289 x 762635635 x 3470891201 x 1835151445 x 1525272159 x 1020856005 x 3670310795 x 20417
Negative: -1 x -220401515-5 x -44080303-17 x -12964795-85 x -2592959-127 x -1735445-289 x -762635-635 x -347089-1201 x -183515-1445 x -152527-2159 x -102085-6005 x -36703-10795 x -20417


How do I find the factor combinations of the number 220,401,515?

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 220,401,515, 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.

1 220,401,515
-1 -220,401,515

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 220,401,515.

Example:
1 x 220,401,515 = 220,401,515
and
-1 x -220,401,515 = 220,401,515
Notice both answers equal 220,401,515

With that explanation out of the way, let's continue. Next, we take the number 220,401,515 and divide it by 2:

220,401,515 ÷ 2 = 110,200,757.5

If the quotient is a whole number, then 2 and 110,200,757.5 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:

1 220,401,515
-1 -220,401,515

Now, we try dividing 220,401,515 by 3:

220,401,515 ÷ 3 = 73,467,171.6667

If the quotient is a whole number, then 3 and 73,467,171.6667 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:

1 220,401,515
-1 -220,401,515

Let's try dividing by 4:

220,401,515 ÷ 4 = 55,100,378.75

If the quotient is a whole number, then 4 and 55,100,378.75 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:

1 220,401,515
-1 220,401,515
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851272896351,2011,4452,1596,00510,79520,41736,703102,085152,527183,515347,089762,6351,735,4452,592,95912,964,79544,080,303220,401,515
-1-5-17-85-127-289-635-1,201-1,445-2,159-6,005-10,795-20,417-36,703-102,085-152,527-183,515-347,089-762,635-1,735,445-2,592,959-12,964,795-44,080,303-220,401,515

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