Q: What are the factor combinations of the number 500,252,053?

 A:
Positive:   1 x 5002520537 x 7146457931 x 16137163163 x 3069031217 x 23053091141 x 4384335053 x 9900114143 x 35371
Negative: -1 x -500252053-7 x -71464579-31 x -16137163-163 x -3069031-217 x -2305309-1141 x -438433-5053 x -99001-14143 x -35371


How do I find the factor combinations of the number 500,252,053?

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 500,252,053, 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.

1 500,252,053
-1 -500,252,053

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 500,252,053.

Example:
1 x 500,252,053 = 500,252,053
and
-1 x -500,252,053 = 500,252,053
Notice both answers equal 500,252,053

With that explanation out of the way, let's continue. Next, we take the number 500,252,053 and divide it by 2:

500,252,053 ÷ 2 = 250,126,026.5

If the quotient is a whole number, then 2 and 250,126,026.5 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:

1 500,252,053
-1 -500,252,053

Now, we try dividing 500,252,053 by 3:

500,252,053 ÷ 3 = 166,750,684.3333

If the quotient is a whole number, then 3 and 166,750,684.3333 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:

1 500,252,053
-1 -500,252,053

Let's try dividing by 4:

500,252,053 ÷ 4 = 125,063,013.25

If the quotient is a whole number, then 4 and 125,063,013.25 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:

1 500,252,053
-1 500,252,053
Keep dividing by the next highest number until you cannot divide anymore.

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

17311632171,1415,05314,14335,37199,001438,4332,305,3093,069,03116,137,16371,464,579500,252,053
-1-7-31-163-217-1,141-5,053-14,143-35,371-99,001-438,433-2,305,309-3,069,031-16,137,163-71,464,579-500,252,053

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