Q: What are the factor combinations of the number 555,020,029?

 A:
Positive:   1 x 55502002917 x 3264823761 x 9098689181 x 30664091037 x 5352172957 x 1876973077 x 18037711041 x 50269
Negative: -1 x -555020029-17 x -32648237-61 x -9098689-181 x -3066409-1037 x -535217-2957 x -187697-3077 x -180377-11041 x -50269


How do I find the factor combinations of the number 555,020,029?

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 555,020,029, 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.

1 555,020,029
-1 -555,020,029

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 555,020,029.

Example:
1 x 555,020,029 = 555,020,029
and
-1 x -555,020,029 = 555,020,029
Notice both answers equal 555,020,029

With that explanation out of the way, let's continue. Next, we take the number 555,020,029 and divide it by 2:

555,020,029 ÷ 2 = 277,510,014.5

If the quotient is a whole number, then 2 and 277,510,014.5 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:

1 555,020,029
-1 -555,020,029

Now, we try dividing 555,020,029 by 3:

555,020,029 ÷ 3 = 185,006,676.3333

If the quotient is a whole number, then 3 and 185,006,676.3333 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:

1 555,020,029
-1 -555,020,029

Let's try dividing by 4:

555,020,029 ÷ 4 = 138,755,007.25

If the quotient is a whole number, then 4 and 138,755,007.25 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:

1 555,020,029
-1 555,020,029
Keep dividing by the next highest number until you cannot divide anymore.

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

117611811,0372,9573,07711,04150,269180,377187,697535,2173,066,4099,098,68932,648,237555,020,029
-1-17-61-181-1,037-2,957-3,077-11,041-50,269-180,377-187,697-535,217-3,066,409-9,098,689-32,648,237-555,020,029

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