Q: What are the factor combinations of the number 55,643,005?

 A:
Positive:   1 x 556430055 x 1112860111 x 505845537 x 150386555 x 1011691185 x 300773407 x 136715739 x 752951369 x 406452035 x 273433695 x 150596845 x 8129
Negative: -1 x -55643005-5 x -11128601-11 x -5058455-37 x -1503865-55 x -1011691-185 x -300773-407 x -136715-739 x -75295-1369 x -40645-2035 x -27343-3695 x -15059-6845 x -8129


How do I find the factor combinations of the number 55,643,005?

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 55,643,005, 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 55,643,005
-1 -55,643,005

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 55,643,005.

Example:
1 x 55,643,005 = 55,643,005
and
-1 x -55,643,005 = 55,643,005
Notice both answers equal 55,643,005

With that explanation out of the way, let's continue. Next, we take the number 55,643,005 and divide it by 2:

55,643,005 ÷ 2 = 27,821,502.5

If the quotient is a whole number, then 2 and 27,821,502.5 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 55,643,005
-1 -55,643,005

Now, we try dividing 55,643,005 by 3:

55,643,005 ÷ 3 = 18,547,668.3333

If the quotient is a whole number, then 3 and 18,547,668.3333 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 55,643,005
-1 -55,643,005

Let's try dividing by 4:

55,643,005 ÷ 4 = 13,910,751.25

If the quotient is a whole number, then 4 and 13,910,751.25 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 55,643,005
-1 55,643,005
Keep dividing by the next highest number until you cannot divide anymore.

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

151137551854077391,3692,0353,6956,8458,12915,05927,34340,64575,295136,715300,7731,011,6911,503,8655,058,45511,128,60155,643,005
-1-5-11-37-55-185-407-739-1,369-2,035-3,695-6,845-8,129-15,059-27,343-40,645-75,295-136,715-300,773-1,011,691-1,503,865-5,058,455-11,128,601-55,643,005

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