Q: What are the factor combinations of the number 44,708,489?

 A:
Positive:   1 x 447084897 x 638692759 x 757771103 x 434063413 x 108253721 x 620091051 x 425396077 x 7357
Negative: -1 x -44708489-7 x -6386927-59 x -757771-103 x -434063-413 x -108253-721 x -62009-1051 x -42539-6077 x -7357


How do I find the factor combinations of the number 44,708,489?

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 44,708,489, 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 44,708,489
-1 -44,708,489

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 44,708,489.

Example:
1 x 44,708,489 = 44,708,489
and
-1 x -44,708,489 = 44,708,489
Notice both answers equal 44,708,489

With that explanation out of the way, let's continue. Next, we take the number 44,708,489 and divide it by 2:

44,708,489 ÷ 2 = 22,354,244.5

If the quotient is a whole number, then 2 and 22,354,244.5 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 44,708,489
-1 -44,708,489

Now, we try dividing 44,708,489 by 3:

44,708,489 ÷ 3 = 14,902,829.6667

If the quotient is a whole number, then 3 and 14,902,829.6667 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 44,708,489
-1 -44,708,489

Let's try dividing by 4:

44,708,489 ÷ 4 = 11,177,122.25

If the quotient is a whole number, then 4 and 11,177,122.25 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 44,708,489
-1 44,708,489
Keep dividing by the next highest number until you cannot divide anymore.

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

17591034137211,0516,0777,35742,53962,009108,253434,063757,7716,386,92744,708,489
-1-7-59-103-413-721-1,051-6,077-7,357-42,539-62,009-108,253-434,063-757,771-6,386,927-44,708,489

More Examples

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