Q: What are the factor combinations of the number 7,472,947?

 A:
Positive:   1 x 747294719 x 39331341 x 18226753 x 140999181 x 41287779 x 95931007 x 74212173 x 3439
Negative: -1 x -7472947-19 x -393313-41 x -182267-53 x -140999-181 x -41287-779 x -9593-1007 x -7421-2173 x -3439


How do I find the factor combinations of the number 7,472,947?

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 7,472,947, 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 7,472,947
-1 -7,472,947

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 7,472,947.

Example:
1 x 7,472,947 = 7,472,947
and
-1 x -7,472,947 = 7,472,947
Notice both answers equal 7,472,947

With that explanation out of the way, let's continue. Next, we take the number 7,472,947 and divide it by 2:

7,472,947 ÷ 2 = 3,736,473.5

If the quotient is a whole number, then 2 and 3,736,473.5 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 7,472,947
-1 -7,472,947

Now, we try dividing 7,472,947 by 3:

7,472,947 ÷ 3 = 2,490,982.3333

If the quotient is a whole number, then 3 and 2,490,982.3333 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 7,472,947
-1 -7,472,947

Let's try dividing by 4:

7,472,947 ÷ 4 = 1,868,236.75

If the quotient is a whole number, then 4 and 1,868,236.75 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 7,472,947
-1 7,472,947
Keep dividing by the next highest number until you cannot divide anymore.

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

11941531817791,0072,1733,4397,4219,59341,287140,999182,267393,3137,472,947
-1-19-41-53-181-779-1,007-2,173-3,439-7,421-9,593-41,287-140,999-182,267-393,313-7,472,947

More Examples

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