Q: What are the factor combinations of the number 746,001,215?

 A:
Positive:   1 x 7460012155 x 14920024337 x 20162195185 x 40324391801 x 4142152239 x 3331859005 x 8284311195 x 66637
Negative: -1 x -746001215-5 x -149200243-37 x -20162195-185 x -4032439-1801 x -414215-2239 x -333185-9005 x -82843-11195 x -66637


How do I find the factor combinations of the number 746,001,215?

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 746,001,215, 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.

1 746,001,215
-1 -746,001,215

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 746,001,215.

Example:
1 x 746,001,215 = 746,001,215
and
-1 x -746,001,215 = 746,001,215
Notice both answers equal 746,001,215

With that explanation out of the way, let's continue. Next, we take the number 746,001,215 and divide it by 2:

746,001,215 ÷ 2 = 373,000,607.5

If the quotient is a whole number, then 2 and 373,000,607.5 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:

1 746,001,215
-1 -746,001,215

Now, we try dividing 746,001,215 by 3:

746,001,215 ÷ 3 = 248,667,071.6667

If the quotient is a whole number, then 3 and 248,667,071.6667 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:

1 746,001,215
-1 -746,001,215

Let's try dividing by 4:

746,001,215 ÷ 4 = 186,500,303.75

If the quotient is a whole number, then 4 and 186,500,303.75 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:

1 746,001,215
-1 746,001,215
Keep dividing by the next highest number until you cannot divide anymore.

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

15371851,8012,2399,00511,19566,63782,843333,185414,2154,032,43920,162,195149,200,243746,001,215
-1-5-37-185-1,801-2,239-9,005-11,195-66,637-82,843-333,185-414,215-4,032,439-20,162,195-149,200,243-746,001,215

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