Q: What are the factor combinations of the number 56,021,477?

 A:
Positive:   1 x 5602147717 x 329538153 x 105700997 x 577541641 x 87397901 x 621771649 x 339735141 x 10897
Negative: -1 x -56021477-17 x -3295381-53 x -1057009-97 x -577541-641 x -87397-901 x -62177-1649 x -33973-5141 x -10897


How do I find the factor combinations of the number 56,021,477?

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 56,021,477, 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 56,021,477
-1 -56,021,477

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 56,021,477.

Example:
1 x 56,021,477 = 56,021,477
and
-1 x -56,021,477 = 56,021,477
Notice both answers equal 56,021,477

With that explanation out of the way, let's continue. Next, we take the number 56,021,477 and divide it by 2:

56,021,477 ÷ 2 = 28,010,738.5

If the quotient is a whole number, then 2 and 28,010,738.5 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 56,021,477
-1 -56,021,477

Now, we try dividing 56,021,477 by 3:

56,021,477 ÷ 3 = 18,673,825.6667

If the quotient is a whole number, then 3 and 18,673,825.6667 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 56,021,477
-1 -56,021,477

Let's try dividing by 4:

56,021,477 ÷ 4 = 14,005,369.25

If the quotient is a whole number, then 4 and 14,005,369.25 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 56,021,477
-1 56,021,477
Keep dividing by the next highest number until you cannot divide anymore.

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

11753976419011,6495,14110,89733,97362,17787,397577,5411,057,0093,295,38156,021,477
-1-17-53-97-641-901-1,649-5,141-10,897-33,973-62,177-87,397-577,541-1,057,009-3,295,381-56,021,477

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