Q: What are the factor combinations of the number 4,432,645?

 A:
Positive:   1 x 44326455 x 8865297 x 63323535 x 12664789 x 49805445 x 9961623 x 71151423 x 3115
Negative: -1 x -4432645-5 x -886529-7 x -633235-35 x -126647-89 x -49805-445 x -9961-623 x -7115-1423 x -3115


How do I find the factor combinations of the number 4,432,645?

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 4,432,645, 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 4,432,645
-1 -4,432,645

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 4,432,645.

Example:
1 x 4,432,645 = 4,432,645
and
-1 x -4,432,645 = 4,432,645
Notice both answers equal 4,432,645

With that explanation out of the way, let's continue. Next, we take the number 4,432,645 and divide it by 2:

4,432,645 ÷ 2 = 2,216,322.5

If the quotient is a whole number, then 2 and 2,216,322.5 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 4,432,645
-1 -4,432,645

Now, we try dividing 4,432,645 by 3:

4,432,645 ÷ 3 = 1,477,548.3333

If the quotient is a whole number, then 3 and 1,477,548.3333 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 4,432,645
-1 -4,432,645

Let's try dividing by 4:

4,432,645 ÷ 4 = 1,108,161.25

If the quotient is a whole number, then 4 and 1,108,161.25 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 4,432,645
-1 4,432,645
Keep dividing by the next highest number until you cannot divide anymore.

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

15735894456231,4233,1157,1159,96149,805126,647633,235886,5294,432,645
-1-5-7-35-89-445-623-1,423-3,115-7,115-9,961-49,805-126,647-633,235-886,529-4,432,645

More Examples

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