Q: What are the factor combinations of the number 20,273,155?

 A:
Positive:   1 x 202731555 x 40546317 x 289616535 x 579233599 x 33845967 x 209652995 x 67694193 x 4835
Negative: -1 x -20273155-5 x -4054631-7 x -2896165-35 x -579233-599 x -33845-967 x -20965-2995 x -6769-4193 x -4835


How do I find the factor combinations of the number 20,273,155?

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 20,273,155, 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 20,273,155
-1 -20,273,155

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 20,273,155.

Example:
1 x 20,273,155 = 20,273,155
and
-1 x -20,273,155 = 20,273,155
Notice both answers equal 20,273,155

With that explanation out of the way, let's continue. Next, we take the number 20,273,155 and divide it by 2:

20,273,155 ÷ 2 = 10,136,577.5

If the quotient is a whole number, then 2 and 10,136,577.5 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 20,273,155
-1 -20,273,155

Now, we try dividing 20,273,155 by 3:

20,273,155 ÷ 3 = 6,757,718.3333

If the quotient is a whole number, then 3 and 6,757,718.3333 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 20,273,155
-1 -20,273,155

Let's try dividing by 4:

20,273,155 ÷ 4 = 5,068,288.75

If the quotient is a whole number, then 4 and 5,068,288.75 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 20,273,155
-1 20,273,155
Keep dividing by the next highest number until you cannot divide anymore.

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

157355999672,9954,1934,8356,76920,96533,845579,2332,896,1654,054,63120,273,155
-1-5-7-35-599-967-2,995-4,193-4,835-6,769-20,965-33,845-579,233-2,896,165-4,054,631-20,273,155

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