Q: What are the factor combinations of the number 16,101,307?

 A:
Positive:   1 x 1610130731 x 51939743 x 37444947 x 342581257 x 626511333 x 120791457 x 110512021 x 7967
Negative: -1 x -16101307-31 x -519397-43 x -374449-47 x -342581-257 x -62651-1333 x -12079-1457 x -11051-2021 x -7967


How do I find the factor combinations of the number 16,101,307?

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 16,101,307, 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 16,101,307
-1 -16,101,307

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 16,101,307.

Example:
1 x 16,101,307 = 16,101,307
and
-1 x -16,101,307 = 16,101,307
Notice both answers equal 16,101,307

With that explanation out of the way, let's continue. Next, we take the number 16,101,307 and divide it by 2:

16,101,307 ÷ 2 = 8,050,653.5

If the quotient is a whole number, then 2 and 8,050,653.5 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 16,101,307
-1 -16,101,307

Now, we try dividing 16,101,307 by 3:

16,101,307 ÷ 3 = 5,367,102.3333

If the quotient is a whole number, then 3 and 5,367,102.3333 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 16,101,307
-1 -16,101,307

Let's try dividing by 4:

16,101,307 ÷ 4 = 4,025,326.75

If the quotient is a whole number, then 4 and 4,025,326.75 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 16,101,307
-1 16,101,307
Keep dividing by the next highest number until you cannot divide anymore.

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

13143472571,3331,4572,0217,96711,05112,07962,651342,581374,449519,39716,101,307
-1-31-43-47-257-1,333-1,457-2,021-7,967-11,051-12,079-62,651-342,581-374,449-519,397-16,101,307

More Examples

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