Q: What are the factor combinations of the number 56,055,341?

 A:
Positive:   1 x 5605534117 x 3297373353 x 1587976001 x 9341
Negative: -1 x -56055341-17 x -3297373-353 x -158797-6001 x -9341


How do I find the factor combinations of the number 56,055,341?

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 56,055,341, 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 56,055,341
-1 -56,055,341

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 56,055,341.

Example:
1 x 56,055,341 = 56,055,341
and
-1 x -56,055,341 = 56,055,341
Notice both answers equal 56,055,341

With that explanation out of the way, let's continue. Next, we take the number 56,055,341 and divide it by 2:

56,055,341 ÷ 2 = 28,027,670.5

If the quotient is a whole number, then 2 and 28,027,670.5 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 56,055,341
-1 -56,055,341

Now, we try dividing 56,055,341 by 3:

56,055,341 ÷ 3 = 18,685,113.6667

If the quotient is a whole number, then 3 and 18,685,113.6667 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 56,055,341
-1 -56,055,341

Let's try dividing by 4:

56,055,341 ÷ 4 = 14,013,835.25

If the quotient is a whole number, then 4 and 14,013,835.25 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 56,055,341
-1 56,055,341
Keep dividing by the next highest number until you cannot divide anymore.

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

1173536,0019,341158,7973,297,37356,055,341
-1-17-353-6,001-9,341-158,797-3,297,373-56,055,341

More Examples

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