Q: What are the factor combinations of the number 57,022,021?

 A:
Positive:   1 x 570220217 x 814600319 x 300115941 x 1390781133 x 428737287 x 198683779 x 731995453 x 10457
Negative: -1 x -57022021-7 x -8146003-19 x -3001159-41 x -1390781-133 x -428737-287 x -198683-779 x -73199-5453 x -10457


How do I find the factor combinations of the number 57,022,021?

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 57,022,021, 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 57,022,021
-1 -57,022,021

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 57,022,021.

Example:
1 x 57,022,021 = 57,022,021
and
-1 x -57,022,021 = 57,022,021
Notice both answers equal 57,022,021

With that explanation out of the way, let's continue. Next, we take the number 57,022,021 and divide it by 2:

57,022,021 ÷ 2 = 28,511,010.5

If the quotient is a whole number, then 2 and 28,511,010.5 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 57,022,021
-1 -57,022,021

Now, we try dividing 57,022,021 by 3:

57,022,021 ÷ 3 = 19,007,340.3333

If the quotient is a whole number, then 3 and 19,007,340.3333 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 57,022,021
-1 -57,022,021

Let's try dividing by 4:

57,022,021 ÷ 4 = 14,255,505.25

If the quotient is a whole number, then 4 and 14,255,505.25 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 57,022,021
-1 57,022,021
Keep dividing by the next highest number until you cannot divide anymore.

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

1719411332877795,45310,45773,199198,683428,7371,390,7813,001,1598,146,00357,022,021
-1-7-19-41-133-287-779-5,453-10,457-73,199-198,683-428,737-1,390,781-3,001,159-8,146,003-57,022,021

More Examples

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