Q: What are the factor combinations of the number 5,352,851?

 A:
Positive:   1 x 53528517 x 76469319 x 281729133 x 40247167 x 32053241 x 222111169 x 45791687 x 3173
Negative: -1 x -5352851-7 x -764693-19 x -281729-133 x -40247-167 x -32053-241 x -22211-1169 x -4579-1687 x -3173


How do I find the factor combinations of the number 5,352,851?

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 5,352,851, 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 5,352,851
-1 -5,352,851

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 5,352,851.

Example:
1 x 5,352,851 = 5,352,851
and
-1 x -5,352,851 = 5,352,851
Notice both answers equal 5,352,851

With that explanation out of the way, let's continue. Next, we take the number 5,352,851 and divide it by 2:

5,352,851 ÷ 2 = 2,676,425.5

If the quotient is a whole number, then 2 and 2,676,425.5 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 5,352,851
-1 -5,352,851

Now, we try dividing 5,352,851 by 3:

5,352,851 ÷ 3 = 1,784,283.6667

If the quotient is a whole number, then 3 and 1,784,283.6667 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 5,352,851
-1 -5,352,851

Let's try dividing by 4:

5,352,851 ÷ 4 = 1,338,212.75

If the quotient is a whole number, then 4 and 1,338,212.75 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 5,352,851
-1 5,352,851
Keep dividing by the next highest number until you cannot divide anymore.

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

17191331672411,1691,6873,1734,57922,21132,05340,247281,729764,6935,352,851
-1-7-19-133-167-241-1,169-1,687-3,173-4,579-22,211-32,053-40,247-281,729-764,693-5,352,851

More Examples

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