Q: What are the factor combinations of the number 553,357?

 A:
Positive:   1 x 5533577 x 7905123 x 2405949 x 11293161 x 3437491 x 1127
Negative: -1 x -553357-7 x -79051-23 x -24059-49 x -11293-161 x -3437-491 x -1127


How do I find the factor combinations of the number 553,357?

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 553,357, 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.

1 553,357
-1 -553,357

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 553,357.

Example:
1 x 553,357 = 553,357
and
-1 x -553,357 = 553,357
Notice both answers equal 553,357

With that explanation out of the way, let's continue. Next, we take the number 553,357 and divide it by 2:

553,357 ÷ 2 = 276,678.5

If the quotient is a whole number, then 2 and 276,678.5 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:

1 553,357
-1 -553,357

Now, we try dividing 553,357 by 3:

553,357 ÷ 3 = 184,452.3333

If the quotient is a whole number, then 3 and 184,452.3333 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:

1 553,357
-1 -553,357

Let's try dividing by 4:

553,357 ÷ 4 = 138,339.25

If the quotient is a whole number, then 4 and 138,339.25 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:

1 553,357
-1 553,357
Keep dividing by the next highest number until you cannot divide anymore.

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

1723491614911,1273,43711,29324,05979,051553,357
-1-7-23-49-161-491-1,127-3,437-11,293-24,059-79,051-553,357

More Examples

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