Q: What are the factor combinations of the number 20,013,103?

 A:
Positive:   1 x 2001310311 x 181937329 x 69010743 x 465421319 x 62737473 x 423111247 x 160491459 x 13717
Negative: -1 x -20013103-11 x -1819373-29 x -690107-43 x -465421-319 x -62737-473 x -42311-1247 x -16049-1459 x -13717


How do I find the factor combinations of the number 20,013,103?

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 20,013,103, 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 20,013,103
-1 -20,013,103

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 20,013,103.

Example:
1 x 20,013,103 = 20,013,103
and
-1 x -20,013,103 = 20,013,103
Notice both answers equal 20,013,103

With that explanation out of the way, let's continue. Next, we take the number 20,013,103 and divide it by 2:

20,013,103 ÷ 2 = 10,006,551.5

If the quotient is a whole number, then 2 and 10,006,551.5 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 20,013,103
-1 -20,013,103

Now, we try dividing 20,013,103 by 3:

20,013,103 ÷ 3 = 6,671,034.3333

If the quotient is a whole number, then 3 and 6,671,034.3333 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 20,013,103
-1 -20,013,103

Let's try dividing by 4:

20,013,103 ÷ 4 = 5,003,275.75

If the quotient is a whole number, then 4 and 5,003,275.75 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 20,013,103
-1 20,013,103
Keep dividing by the next highest number until you cannot divide anymore.

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

11129433194731,2471,45913,71716,04942,31162,737465,421690,1071,819,37320,013,103
-1-11-29-43-319-473-1,247-1,459-13,717-16,049-42,311-62,737-465,421-690,107-1,819,373-20,013,103

More Examples

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