Q: What are the factor combinations of the number 15,211,855?

 A:
Positive:   1 x 152118555 x 304237117 x 89481523 x 66138531 x 49070585 x 178963115 x 132277155 x 98141251 x 60605391 x 38905527 x 28865713 x 213351255 x 121211955 x 77812635 x 57733565 x 4267
Negative: -1 x -15211855-5 x -3042371-17 x -894815-23 x -661385-31 x -490705-85 x -178963-115 x -132277-155 x -98141-251 x -60605-391 x -38905-527 x -28865-713 x -21335-1255 x -12121-1955 x -7781-2635 x -5773-3565 x -4267


How do I find the factor combinations of the number 15,211,855?

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 15,211,855, 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 15,211,855
-1 -15,211,855

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 15,211,855.

Example:
1 x 15,211,855 = 15,211,855
and
-1 x -15,211,855 = 15,211,855
Notice both answers equal 15,211,855

With that explanation out of the way, let's continue. Next, we take the number 15,211,855 and divide it by 2:

15,211,855 ÷ 2 = 7,605,927.5

If the quotient is a whole number, then 2 and 7,605,927.5 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 15,211,855
-1 -15,211,855

Now, we try dividing 15,211,855 by 3:

15,211,855 ÷ 3 = 5,070,618.3333

If the quotient is a whole number, then 3 and 5,070,618.3333 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 15,211,855
-1 -15,211,855

Let's try dividing by 4:

15,211,855 ÷ 4 = 3,802,963.75

If the quotient is a whole number, then 4 and 3,802,963.75 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 15,211,855
-1 15,211,855
Keep dividing by the next highest number until you cannot divide anymore.

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

15172331851151552513915277131,2551,9552,6353,5654,2675,7737,78112,12121,33528,86538,90560,60598,141132,277178,963490,705661,385894,8153,042,37115,211,855
-1-5-17-23-31-85-115-155-251-391-527-713-1,255-1,955-2,635-3,565-4,267-5,773-7,781-12,121-21,335-28,865-38,905-60,605-98,141-132,277-178,963-490,705-661,385-894,815-3,042,371-15,211,855

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