Q: What are the factor combinations of the number 7,472,645?

 A:
Positive:   1 x 74726455 x 149452959 x 12665573 x 102365295 x 25331347 x 21535365 x 204731735 x 4307
Negative: -1 x -7472645-5 x -1494529-59 x -126655-73 x -102365-295 x -25331-347 x -21535-365 x -20473-1735 x -4307


How do I find the factor combinations of the number 7,472,645?

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 7,472,645, 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 7,472,645
-1 -7,472,645

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 7,472,645.

Example:
1 x 7,472,645 = 7,472,645
and
-1 x -7,472,645 = 7,472,645
Notice both answers equal 7,472,645

With that explanation out of the way, let's continue. Next, we take the number 7,472,645 and divide it by 2:

7,472,645 ÷ 2 = 3,736,322.5

If the quotient is a whole number, then 2 and 3,736,322.5 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 7,472,645
-1 -7,472,645

Now, we try dividing 7,472,645 by 3:

7,472,645 ÷ 3 = 2,490,881.6667

If the quotient is a whole number, then 3 and 2,490,881.6667 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 7,472,645
-1 -7,472,645

Let's try dividing by 4:

7,472,645 ÷ 4 = 1,868,161.25

If the quotient is a whole number, then 4 and 1,868,161.25 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 7,472,645
-1 7,472,645
Keep dividing by the next highest number until you cannot divide anymore.

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

1559732953473651,7354,30720,47321,53525,331102,365126,6551,494,5297,472,645
-1-5-59-73-295-347-365-1,735-4,307-20,473-21,535-25,331-102,365-126,655-1,494,529-7,472,645

More Examples

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