Q: What are the factor combinations of the number 13,444,445?

 A:
Positive:   1 x 134444455 x 26888897 x 192063535 x 384127281 x 478451367 x 98351405 x 95691967 x 6835
Negative: -1 x -13444445-5 x -2688889-7 x -1920635-35 x -384127-281 x -47845-1367 x -9835-1405 x -9569-1967 x -6835


How do I find the factor combinations of the number 13,444,445?

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 13,444,445, 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 13,444,445
-1 -13,444,445

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 13,444,445.

Example:
1 x 13,444,445 = 13,444,445
and
-1 x -13,444,445 = 13,444,445
Notice both answers equal 13,444,445

With that explanation out of the way, let's continue. Next, we take the number 13,444,445 and divide it by 2:

13,444,445 ÷ 2 = 6,722,222.5

If the quotient is a whole number, then 2 and 6,722,222.5 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 13,444,445
-1 -13,444,445

Now, we try dividing 13,444,445 by 3:

13,444,445 ÷ 3 = 4,481,481.6667

If the quotient is a whole number, then 3 and 4,481,481.6667 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 13,444,445
-1 -13,444,445

Let's try dividing by 4:

13,444,445 ÷ 4 = 3,361,111.25

If the quotient is a whole number, then 4 and 3,361,111.25 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 13,444,445
-1 13,444,445
Keep dividing by the next highest number until you cannot divide anymore.

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

157352811,3671,4051,9676,8359,5699,83547,845384,1271,920,6352,688,88913,444,445
-1-5-7-35-281-1,367-1,405-1,967-6,835-9,569-9,835-47,845-384,127-1,920,635-2,688,889-13,444,445

More Examples

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