Q: What are the factor combinations of the number 4,432,675?

 A:
Positive:   1 x 44326755 x 88653513 x 34097523 x 19272525 x 17730765 x 68195115 x 38545299 x 14825325 x 13639575 x 7709593 x 74751495 x 2965
Negative: -1 x -4432675-5 x -886535-13 x -340975-23 x -192725-25 x -177307-65 x -68195-115 x -38545-299 x -14825-325 x -13639-575 x -7709-593 x -7475-1495 x -2965


How do I find the factor combinations of the number 4,432,675?

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 4,432,675, 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 4,432,675
-1 -4,432,675

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 4,432,675.

Example:
1 x 4,432,675 = 4,432,675
and
-1 x -4,432,675 = 4,432,675
Notice both answers equal 4,432,675

With that explanation out of the way, let's continue. Next, we take the number 4,432,675 and divide it by 2:

4,432,675 ÷ 2 = 2,216,337.5

If the quotient is a whole number, then 2 and 2,216,337.5 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 4,432,675
-1 -4,432,675

Now, we try dividing 4,432,675 by 3:

4,432,675 ÷ 3 = 1,477,558.3333

If the quotient is a whole number, then 3 and 1,477,558.3333 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 4,432,675
-1 -4,432,675

Let's try dividing by 4:

4,432,675 ÷ 4 = 1,108,168.75

If the quotient is a whole number, then 4 and 1,108,168.75 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 4,432,675
-1 4,432,675
Keep dividing by the next highest number until you cannot divide anymore.

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

15132325651152993255755931,4952,9657,4757,70913,63914,82538,54568,195177,307192,725340,975886,5354,432,675
-1-5-13-23-25-65-115-299-325-575-593-1,495-2,965-7,475-7,709-13,639-14,825-38,545-68,195-177,307-192,725-340,975-886,535-4,432,675

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