Q: What are the factor combinations of the number 5,333,875?

 A:
Positive:   1 x 53338755 x 106677525 x 21335571 x 75125125 x 42671355 x 15025601 x 88751775 x 3005
Negative: -1 x -5333875-5 x -1066775-25 x -213355-71 x -75125-125 x -42671-355 x -15025-601 x -8875-1775 x -3005


How do I find the factor combinations of the number 5,333,875?

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 5,333,875, 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 5,333,875
-1 -5,333,875

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 5,333,875.

Example:
1 x 5,333,875 = 5,333,875
and
-1 x -5,333,875 = 5,333,875
Notice both answers equal 5,333,875

With that explanation out of the way, let's continue. Next, we take the number 5,333,875 and divide it by 2:

5,333,875 ÷ 2 = 2,666,937.5

If the quotient is a whole number, then 2 and 2,666,937.5 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 5,333,875
-1 -5,333,875

Now, we try dividing 5,333,875 by 3:

5,333,875 ÷ 3 = 1,777,958.3333

If the quotient is a whole number, then 3 and 1,777,958.3333 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 5,333,875
-1 -5,333,875

Let's try dividing by 4:

5,333,875 ÷ 4 = 1,333,468.75

If the quotient is a whole number, then 4 and 1,333,468.75 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 5,333,875
-1 5,333,875
Keep dividing by the next highest number until you cannot divide anymore.

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

1525711253556011,7753,0058,87515,02542,67175,125213,3551,066,7755,333,875
-1-5-25-71-125-355-601-1,775-3,005-8,875-15,025-42,671-75,125-213,355-1,066,775-5,333,875

More Examples

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