Q: What are the factor combinations of the number 551,588,677?

 A:
Positive:   1 x 55158867719 x 29030983691 x 79824713129 x 42013
Negative: -1 x -551588677-19 x -29030983-691 x -798247-13129 x -42013


How do I find the factor combinations of the number 551,588,677?

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 551,588,677, 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.

1 551,588,677
-1 -551,588,677

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 551,588,677.

Example:
1 x 551,588,677 = 551,588,677
and
-1 x -551,588,677 = 551,588,677
Notice both answers equal 551,588,677

With that explanation out of the way, let's continue. Next, we take the number 551,588,677 and divide it by 2:

551,588,677 ÷ 2 = 275,794,338.5

If the quotient is a whole number, then 2 and 275,794,338.5 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:

1 551,588,677
-1 -551,588,677

Now, we try dividing 551,588,677 by 3:

551,588,677 ÷ 3 = 183,862,892.3333

If the quotient is a whole number, then 3 and 183,862,892.3333 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:

1 551,588,677
-1 -551,588,677

Let's try dividing by 4:

551,588,677 ÷ 4 = 137,897,169.25

If the quotient is a whole number, then 4 and 137,897,169.25 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:

1 551,588,677
-1 551,588,677
Keep dividing by the next highest number until you cannot divide anymore.

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

11969113,12942,013798,24729,030,983551,588,677
-1-19-691-13,129-42,013-798,247-29,030,983-551,588,677

More Examples

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