Q: What are the factor combinations of the number 56,021,371?

 A:
Positive:   1 x 560213717 x 800305331 x 180714153 x 1057007217 x 258163371 x 1510011643 x 340974871 x 11501
Negative: -1 x -56021371-7 x -8003053-31 x -1807141-53 x -1057007-217 x -258163-371 x -151001-1643 x -34097-4871 x -11501


How do I find the factor combinations of the number 56,021,371?

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 56,021,371, 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 56,021,371
-1 -56,021,371

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 56,021,371.

Example:
1 x 56,021,371 = 56,021,371
and
-1 x -56,021,371 = 56,021,371
Notice both answers equal 56,021,371

With that explanation out of the way, let's continue. Next, we take the number 56,021,371 and divide it by 2:

56,021,371 ÷ 2 = 28,010,685.5

If the quotient is a whole number, then 2 and 28,010,685.5 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 56,021,371
-1 -56,021,371

Now, we try dividing 56,021,371 by 3:

56,021,371 ÷ 3 = 18,673,790.3333

If the quotient is a whole number, then 3 and 18,673,790.3333 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 56,021,371
-1 -56,021,371

Let's try dividing by 4:

56,021,371 ÷ 4 = 14,005,342.75

If the quotient is a whole number, then 4 and 14,005,342.75 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 56,021,371
-1 56,021,371
Keep dividing by the next highest number until you cannot divide anymore.

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

1731532173711,6434,87111,50134,097151,001258,1631,057,0071,807,1418,003,05356,021,371
-1-7-31-53-217-371-1,643-4,871-11,501-34,097-151,001-258,163-1,057,007-1,807,141-8,003,053-56,021,371

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