Q: What are the factor combinations of the number 56,402,401?

 A:
Positive:   1 x 5640240111 x 512749183 x 679547163 x 346027379 x 148819913 x 617771793 x 314574169 x 13529
Negative: -1 x -56402401-11 x -5127491-83 x -679547-163 x -346027-379 x -148819-913 x -61777-1793 x -31457-4169 x -13529


How do I find the factor combinations of the number 56,402,401?

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 56,402,401, 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 56,402,401
-1 -56,402,401

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 56,402,401.

Example:
1 x 56,402,401 = 56,402,401
and
-1 x -56,402,401 = 56,402,401
Notice both answers equal 56,402,401

With that explanation out of the way, let's continue. Next, we take the number 56,402,401 and divide it by 2:

56,402,401 ÷ 2 = 28,201,200.5

If the quotient is a whole number, then 2 and 28,201,200.5 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 56,402,401
-1 -56,402,401

Now, we try dividing 56,402,401 by 3:

56,402,401 ÷ 3 = 18,800,800.3333

If the quotient is a whole number, then 3 and 18,800,800.3333 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 56,402,401
-1 -56,402,401

Let's try dividing by 4:

56,402,401 ÷ 4 = 14,100,600.25

If the quotient is a whole number, then 4 and 14,100,600.25 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 56,402,401
-1 56,402,401
Keep dividing by the next highest number until you cannot divide anymore.

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

111831633799131,7934,16913,52931,45761,777148,819346,027679,5475,127,49156,402,401
-1-11-83-163-379-913-1,793-4,169-13,529-31,457-61,777-148,819-346,027-679,547-5,127,491-56,402,401

More Examples

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