Q: What are the factor combinations of the number 7,672,445?

 A:
Positive:   1 x 76724455 x 153448911 x 69749555 x 139499199 x 38555701 x 10945995 x 77112189 x 3505
Negative: -1 x -7672445-5 x -1534489-11 x -697495-55 x -139499-199 x -38555-701 x -10945-995 x -7711-2189 x -3505


How do I find the factor combinations of the number 7,672,445?

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 7,672,445, 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 7,672,445
-1 -7,672,445

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 7,672,445.

Example:
1 x 7,672,445 = 7,672,445
and
-1 x -7,672,445 = 7,672,445
Notice both answers equal 7,672,445

With that explanation out of the way, let's continue. Next, we take the number 7,672,445 and divide it by 2:

7,672,445 ÷ 2 = 3,836,222.5

If the quotient is a whole number, then 2 and 3,836,222.5 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 7,672,445
-1 -7,672,445

Now, we try dividing 7,672,445 by 3:

7,672,445 ÷ 3 = 2,557,481.6667

If the quotient is a whole number, then 3 and 2,557,481.6667 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 7,672,445
-1 -7,672,445

Let's try dividing by 4:

7,672,445 ÷ 4 = 1,918,111.25

If the quotient is a whole number, then 4 and 1,918,111.25 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 7,672,445
-1 7,672,445
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551997019952,1893,5057,71110,94538,555139,499697,4951,534,4897,672,445
-1-5-11-55-199-701-995-2,189-3,505-7,711-10,945-38,555-139,499-697,495-1,534,489-7,672,445

More Examples

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