Q: What are the factor combinations of the number 500,303,237?

 A:
Positive:   1 x 5003032377 x 7147189143 x 1163495973 x 6853469301 x 1662137511 x 9790673139 x 15938321973 x 22769
Negative: -1 x -500303237-7 x -71471891-43 x -11634959-73 x -6853469-301 x -1662137-511 x -979067-3139 x -159383-21973 x -22769


How do I find the factor combinations of the number 500,303,237?

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 500,303,237, 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.

1 500,303,237
-1 -500,303,237

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 500,303,237.

Example:
1 x 500,303,237 = 500,303,237
and
-1 x -500,303,237 = 500,303,237
Notice both answers equal 500,303,237

With that explanation out of the way, let's continue. Next, we take the number 500,303,237 and divide it by 2:

500,303,237 ÷ 2 = 250,151,618.5

If the quotient is a whole number, then 2 and 250,151,618.5 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:

1 500,303,237
-1 -500,303,237

Now, we try dividing 500,303,237 by 3:

500,303,237 ÷ 3 = 166,767,745.6667

If the quotient is a whole number, then 3 and 166,767,745.6667 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:

1 500,303,237
-1 -500,303,237

Let's try dividing by 4:

500,303,237 ÷ 4 = 125,075,809.25

If the quotient is a whole number, then 4 and 125,075,809.25 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:

1 500,303,237
-1 500,303,237
Keep dividing by the next highest number until you cannot divide anymore.

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

1743733015113,13921,97322,769159,383979,0671,662,1376,853,46911,634,95971,471,891500,303,237
-1-7-43-73-301-511-3,139-21,973-22,769-159,383-979,067-1,662,137-6,853,469-11,634,959-71,471,891-500,303,237

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