Q: What are the factor combinations of the number 14,996,905?

 A:
Positive:   1 x 149969055 x 29993817 x 214241511 x 136335535 x 42848355 x 27267177 x 194765385 x 38953
Negative: -1 x -14996905-5 x -2999381-7 x -2142415-11 x -1363355-35 x -428483-55 x -272671-77 x -194765-385 x -38953


How do I find the factor combinations of the number 14,996,905?

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 14,996,905, 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 14,996,905
-1 -14,996,905

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 14,996,905.

Example:
1 x 14,996,905 = 14,996,905
and
-1 x -14,996,905 = 14,996,905
Notice both answers equal 14,996,905

With that explanation out of the way, let's continue. Next, we take the number 14,996,905 and divide it by 2:

14,996,905 ÷ 2 = 7,498,452.5

If the quotient is a whole number, then 2 and 7,498,452.5 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 14,996,905
-1 -14,996,905

Now, we try dividing 14,996,905 by 3:

14,996,905 ÷ 3 = 4,998,968.3333

If the quotient is a whole number, then 3 and 4,998,968.3333 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 14,996,905
-1 -14,996,905

Let's try dividing by 4:

14,996,905 ÷ 4 = 3,749,226.25

If the quotient is a whole number, then 4 and 3,749,226.25 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 14,996,905
-1 14,996,905
Keep dividing by the next highest number until you cannot divide anymore.

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

1571135557738538,953194,765272,671428,4831,363,3552,142,4152,999,38114,996,905
-1-5-7-11-35-55-77-385-38,953-194,765-272,671-428,483-1,363,355-2,142,415-2,999,381-14,996,905

More Examples

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