Q: What are the factor combinations of the number 56,818,421?

 A:
Positive:   1 x 5681842111 x 516531137 x 1535633137 x 414733407 x 1396031019 x 557591507 x 377035069 x 11209
Negative: -1 x -56818421-11 x -5165311-37 x -1535633-137 x -414733-407 x -139603-1019 x -55759-1507 x -37703-5069 x -11209


How do I find the factor combinations of the number 56,818,421?

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 56,818,421, 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 56,818,421
-1 -56,818,421

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 56,818,421.

Example:
1 x 56,818,421 = 56,818,421
and
-1 x -56,818,421 = 56,818,421
Notice both answers equal 56,818,421

With that explanation out of the way, let's continue. Next, we take the number 56,818,421 and divide it by 2:

56,818,421 ÷ 2 = 28,409,210.5

If the quotient is a whole number, then 2 and 28,409,210.5 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 56,818,421
-1 -56,818,421

Now, we try dividing 56,818,421 by 3:

56,818,421 ÷ 3 = 18,939,473.6667

If the quotient is a whole number, then 3 and 18,939,473.6667 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 56,818,421
-1 -56,818,421

Let's try dividing by 4:

56,818,421 ÷ 4 = 14,204,605.25

If the quotient is a whole number, then 4 and 14,204,605.25 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 56,818,421
-1 56,818,421
Keep dividing by the next highest number until you cannot divide anymore.

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

111371374071,0191,5075,06911,20937,70355,759139,603414,7331,535,6335,165,31156,818,421
-1-11-37-137-407-1,019-1,507-5,069-11,209-37,703-55,759-139,603-414,733-1,535,633-5,165,311-56,818,421

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