Q: What are the factor combinations of the number 551,335,045?

 A:
Positive:   1 x 5513350455 x 1102670091019 x 5410555095 x 108211
Negative: -1 x -551335045-5 x -110267009-1019 x -541055-5095 x -108211


How do I find the factor combinations of the number 551,335,045?

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 551,335,045, 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.

1 551,335,045
-1 -551,335,045

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 551,335,045.

Example:
1 x 551,335,045 = 551,335,045
and
-1 x -551,335,045 = 551,335,045
Notice both answers equal 551,335,045

With that explanation out of the way, let's continue. Next, we take the number 551,335,045 and divide it by 2:

551,335,045 ÷ 2 = 275,667,522.5

If the quotient is a whole number, then 2 and 275,667,522.5 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:

1 551,335,045
-1 -551,335,045

Now, we try dividing 551,335,045 by 3:

551,335,045 ÷ 3 = 183,778,348.3333

If the quotient is a whole number, then 3 and 183,778,348.3333 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:

1 551,335,045
-1 -551,335,045

Let's try dividing by 4:

551,335,045 ÷ 4 = 137,833,761.25

If the quotient is a whole number, then 4 and 137,833,761.25 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:

1 551,335,045
-1 551,335,045
Keep dividing by the next highest number until you cannot divide anymore.

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

151,0195,095108,211541,055110,267,009551,335,045
-1-5-1,019-5,095-108,211-541,055-110,267,009-551,335,045

More Examples

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