Q: What are the factor combinations of the number 16,106,701?

 A:
Positive:   1 x 1610670113 x 123897717 x 94745331 x 519571221 x 72881403 x 39967527 x 305632351 x 6851
Negative: -1 x -16106701-13 x -1238977-17 x -947453-31 x -519571-221 x -72881-403 x -39967-527 x -30563-2351 x -6851


How do I find the factor combinations of the number 16,106,701?

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 16,106,701, 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 16,106,701
-1 -16,106,701

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 16,106,701.

Example:
1 x 16,106,701 = 16,106,701
and
-1 x -16,106,701 = 16,106,701
Notice both answers equal 16,106,701

With that explanation out of the way, let's continue. Next, we take the number 16,106,701 and divide it by 2:

16,106,701 ÷ 2 = 8,053,350.5

If the quotient is a whole number, then 2 and 8,053,350.5 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 16,106,701
-1 -16,106,701

Now, we try dividing 16,106,701 by 3:

16,106,701 ÷ 3 = 5,368,900.3333

If the quotient is a whole number, then 3 and 5,368,900.3333 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 16,106,701
-1 -16,106,701

Let's try dividing by 4:

16,106,701 ÷ 4 = 4,026,675.25

If the quotient is a whole number, then 4 and 4,026,675.25 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 16,106,701
-1 16,106,701
Keep dividing by the next highest number until you cannot divide anymore.

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

11317312214035272,3516,85130,56339,96772,881519,571947,4531,238,97716,106,701
-1-13-17-31-221-403-527-2,351-6,851-30,563-39,967-72,881-519,571-947,453-1,238,977-16,106,701

More Examples

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