Q: What are the factor combinations of the number 56,452,357?

 A:
Positive:   1 x 5645235713 x 434248929 x 1946633137 x 412061377 x 1497411093 x 516491781 x 316973973 x 14209
Negative: -1 x -56452357-13 x -4342489-29 x -1946633-137 x -412061-377 x -149741-1093 x -51649-1781 x -31697-3973 x -14209


How do I find the factor combinations of the number 56,452,357?

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 56,452,357, 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 56,452,357
-1 -56,452,357

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 56,452,357.

Example:
1 x 56,452,357 = 56,452,357
and
-1 x -56,452,357 = 56,452,357
Notice both answers equal 56,452,357

With that explanation out of the way, let's continue. Next, we take the number 56,452,357 and divide it by 2:

56,452,357 ÷ 2 = 28,226,178.5

If the quotient is a whole number, then 2 and 28,226,178.5 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 56,452,357
-1 -56,452,357

Now, we try dividing 56,452,357 by 3:

56,452,357 ÷ 3 = 18,817,452.3333

If the quotient is a whole number, then 3 and 18,817,452.3333 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 56,452,357
-1 -56,452,357

Let's try dividing by 4:

56,452,357 ÷ 4 = 14,113,089.25

If the quotient is a whole number, then 4 and 14,113,089.25 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 56,452,357
-1 56,452,357
Keep dividing by the next highest number until you cannot divide anymore.

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

113291373771,0931,7813,97314,20931,69751,649149,741412,0611,946,6334,342,48956,452,357
-1-13-29-137-377-1,093-1,781-3,973-14,209-31,697-51,649-149,741-412,061-1,946,633-4,342,489-56,452,357

More Examples

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