Q: What are the factor combinations of the number 552,347,833?

 A:
Positive:   1 x 55234783317 x 3249104929 x 19046477479 x 1153127493 x 11203812339 x 2361478143 x 6783113891 x 39763
Negative: -1 x -552347833-17 x -32491049-29 x -19046477-479 x -1153127-493 x -1120381-2339 x -236147-8143 x -67831-13891 x -39763


How do I find the factor combinations of the number 552,347,833?

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 552,347,833, 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.

1 552,347,833
-1 -552,347,833

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 552,347,833.

Example:
1 x 552,347,833 = 552,347,833
and
-1 x -552,347,833 = 552,347,833
Notice both answers equal 552,347,833

With that explanation out of the way, let's continue. Next, we take the number 552,347,833 and divide it by 2:

552,347,833 ÷ 2 = 276,173,916.5

If the quotient is a whole number, then 2 and 276,173,916.5 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:

1 552,347,833
-1 -552,347,833

Now, we try dividing 552,347,833 by 3:

552,347,833 ÷ 3 = 184,115,944.3333

If the quotient is a whole number, then 3 and 184,115,944.3333 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:

1 552,347,833
-1 -552,347,833

Let's try dividing by 4:

552,347,833 ÷ 4 = 138,086,958.25

If the quotient is a whole number, then 4 and 138,086,958.25 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:

1 552,347,833
-1 552,347,833
Keep dividing by the next highest number until you cannot divide anymore.

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

117294794932,3398,14313,89139,76367,831236,1471,120,3811,153,12719,046,47732,491,049552,347,833
-1-17-29-479-493-2,339-8,143-13,891-39,763-67,831-236,147-1,120,381-1,153,127-19,046,477-32,491,049-552,347,833

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