Q: What are the factor combinations of the number 551,888,045?

 A:
Positive:   1 x 5518880455 x 11037760961 x 904734567 x 8237135113 x 4883965239 x 2309155305 x 1809469335 x 1647427565 x 9767931195 x 4618314087 x 1350356893 x 800657571 x 7289514579 x 3785516013 x 3446520435 x 27007
Negative: -1 x -551888045-5 x -110377609-61 x -9047345-67 x -8237135-113 x -4883965-239 x -2309155-305 x -1809469-335 x -1647427-565 x -976793-1195 x -461831-4087 x -135035-6893 x -80065-7571 x -72895-14579 x -37855-16013 x -34465-20435 x -27007


How do I find the factor combinations of the number 551,888,045?

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 551,888,045, 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.

1 551,888,045
-1 -551,888,045

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 551,888,045.

Example:
1 x 551,888,045 = 551,888,045
and
-1 x -551,888,045 = 551,888,045
Notice both answers equal 551,888,045

With that explanation out of the way, let's continue. Next, we take the number 551,888,045 and divide it by 2:

551,888,045 ÷ 2 = 275,944,022.5

If the quotient is a whole number, then 2 and 275,944,022.5 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:

1 551,888,045
-1 -551,888,045

Now, we try dividing 551,888,045 by 3:

551,888,045 ÷ 3 = 183,962,681.6667

If the quotient is a whole number, then 3 and 183,962,681.6667 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:

1 551,888,045
-1 -551,888,045

Let's try dividing by 4:

551,888,045 ÷ 4 = 137,972,011.25

If the quotient is a whole number, then 4 and 137,972,011.25 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:

1 551,888,045
-1 551,888,045
Keep dividing by the next highest number until you cannot divide anymore.

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

1561671132393053355651,1954,0876,8937,57114,57916,01320,43527,00734,46537,85572,89580,065135,035461,831976,7931,647,4271,809,4692,309,1554,883,9658,237,1359,047,345110,377,609551,888,045
-1-5-61-67-113-239-305-335-565-1,195-4,087-6,893-7,571-14,579-16,013-20,435-27,007-34,465-37,855-72,895-80,065-135,035-461,831-976,793-1,647,427-1,809,469-2,309,155-4,883,965-8,237,135-9,047,345-110,377,609-551,888,045

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