Q: What are the factor combinations of the number 20,231,003?

 A:
Positive:   1 x 2023100313 x 155623117 x 119005931 x 652613221 x 91543403 x 50201527 x 383892953 x 6851
Negative: -1 x -20231003-13 x -1556231-17 x -1190059-31 x -652613-221 x -91543-403 x -50201-527 x -38389-2953 x -6851


How do I find the factor combinations of the number 20,231,003?

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 20,231,003, 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 20,231,003
-1 -20,231,003

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 20,231,003.

Example:
1 x 20,231,003 = 20,231,003
and
-1 x -20,231,003 = 20,231,003
Notice both answers equal 20,231,003

With that explanation out of the way, let's continue. Next, we take the number 20,231,003 and divide it by 2:

20,231,003 ÷ 2 = 10,115,501.5

If the quotient is a whole number, then 2 and 10,115,501.5 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 20,231,003
-1 -20,231,003

Now, we try dividing 20,231,003 by 3:

20,231,003 ÷ 3 = 6,743,667.6667

If the quotient is a whole number, then 3 and 6,743,667.6667 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 20,231,003
-1 -20,231,003

Let's try dividing by 4:

20,231,003 ÷ 4 = 5,057,750.75

If the quotient is a whole number, then 4 and 5,057,750.75 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 20,231,003
-1 20,231,003
Keep dividing by the next highest number until you cannot divide anymore.

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

11317312214035272,9536,85138,38950,20191,543652,6131,190,0591,556,23120,231,003
-1-13-17-31-221-403-527-2,953-6,851-38,389-50,201-91,543-652,613-1,190,059-1,556,231-20,231,003

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