Q: What are the factor combinations of the number 4,488,445?

 A:
Positive:   1 x 44884455 x 89768913 x 34526565 x 69053199 x 22555347 x 12935995 x 45111735 x 2587
Negative: -1 x -4488445-5 x -897689-13 x -345265-65 x -69053-199 x -22555-347 x -12935-995 x -4511-1735 x -2587


How do I find the factor combinations of the number 4,488,445?

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 4,488,445, 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 4,488,445
-1 -4,488,445

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 4,488,445.

Example:
1 x 4,488,445 = 4,488,445
and
-1 x -4,488,445 = 4,488,445
Notice both answers equal 4,488,445

With that explanation out of the way, let's continue. Next, we take the number 4,488,445 and divide it by 2:

4,488,445 ÷ 2 = 2,244,222.5

If the quotient is a whole number, then 2 and 2,244,222.5 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 4,488,445
-1 -4,488,445

Now, we try dividing 4,488,445 by 3:

4,488,445 ÷ 3 = 1,496,148.3333

If the quotient is a whole number, then 3 and 1,496,148.3333 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 4,488,445
-1 -4,488,445

Let's try dividing by 4:

4,488,445 ÷ 4 = 1,122,111.25

If the quotient is a whole number, then 4 and 1,122,111.25 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 4,488,445
-1 4,488,445
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651993479951,7352,5874,51112,93522,55569,053345,265897,6894,488,445
-1-5-13-65-199-347-995-1,735-2,587-4,511-12,935-22,555-69,053-345,265-897,689-4,488,445

More Examples

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