Q: What are the factor combinations of the number 20,142,023?

 A:
Positive:   1 x 2014202311 x 183109337 x 544379121 x 166463407 x 49489409 x 492471331 x 151334477 x 4499
Negative: -1 x -20142023-11 x -1831093-37 x -544379-121 x -166463-407 x -49489-409 x -49247-1331 x -15133-4477 x -4499


How do I find the factor combinations of the number 20,142,023?

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 20,142,023, 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 20,142,023
-1 -20,142,023

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 20,142,023.

Example:
1 x 20,142,023 = 20,142,023
and
-1 x -20,142,023 = 20,142,023
Notice both answers equal 20,142,023

With that explanation out of the way, let's continue. Next, we take the number 20,142,023 and divide it by 2:

20,142,023 ÷ 2 = 10,071,011.5

If the quotient is a whole number, then 2 and 10,071,011.5 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 20,142,023
-1 -20,142,023

Now, we try dividing 20,142,023 by 3:

20,142,023 ÷ 3 = 6,714,007.6667

If the quotient is a whole number, then 3 and 6,714,007.6667 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 20,142,023
-1 -20,142,023

Let's try dividing by 4:

20,142,023 ÷ 4 = 5,035,505.75

If the quotient is a whole number, then 4 and 5,035,505.75 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 20,142,023
-1 20,142,023
Keep dividing by the next highest number until you cannot divide anymore.

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

111371214074091,3314,4774,49915,13349,24749,489166,463544,3791,831,09320,142,023
-1-11-37-121-407-409-1,331-4,477-4,499-15,133-49,247-49,489-166,463-544,379-1,831,093-20,142,023

More Examples

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