Q: What are the factor combinations of the number 607,313,101?

 A:
Positive:   1 x 607313101101 x 6013001139 x 4369159181 x 3355321239 x 254105914039 x 4325918281 x 3322124139 x 25159
Negative: -1 x -607313101-101 x -6013001-139 x -4369159-181 x -3355321-239 x -2541059-14039 x -43259-18281 x -33221-24139 x -25159


How do I find the factor combinations of the number 607,313,101?

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 607,313,101, 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.

1 607,313,101
-1 -607,313,101

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 607,313,101.

Example:
1 x 607,313,101 = 607,313,101
and
-1 x -607,313,101 = 607,313,101
Notice both answers equal 607,313,101

With that explanation out of the way, let's continue. Next, we take the number 607,313,101 and divide it by 2:

607,313,101 ÷ 2 = 303,656,550.5

If the quotient is a whole number, then 2 and 303,656,550.5 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:

1 607,313,101
-1 -607,313,101

Now, we try dividing 607,313,101 by 3:

607,313,101 ÷ 3 = 202,437,700.3333

If the quotient is a whole number, then 3 and 202,437,700.3333 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:

1 607,313,101
-1 -607,313,101

Let's try dividing by 4:

607,313,101 ÷ 4 = 151,828,275.25

If the quotient is a whole number, then 4 and 151,828,275.25 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:

1 607,313,101
-1 607,313,101
Keep dividing by the next highest number until you cannot divide anymore.

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

110113918123914,03918,28124,13925,15933,22143,2592,541,0593,355,3214,369,1596,013,001607,313,101
-1-101-139-181-239-14,039-18,281-24,139-25,159-33,221-43,259-2,541,059-3,355,321-4,369,159-6,013,001-607,313,101

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