Q: What are the factor combinations of the number 607,495?

 A:
Positive:   1 x 6074955 x 1214997 x 8678517 x 3573535 x 1735785 x 7147119 x 5105595 x 1021
Negative: -1 x -607495-5 x -121499-7 x -86785-17 x -35735-35 x -17357-85 x -7147-119 x -5105-595 x -1021


How do I find the factor combinations of the number 607,495?

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 607,495, 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.

1 607,495
-1 -607,495

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 607,495.

Example:
1 x 607,495 = 607,495
and
-1 x -607,495 = 607,495
Notice both answers equal 607,495

With that explanation out of the way, let's continue. Next, we take the number 607,495 and divide it by 2:

607,495 ÷ 2 = 303,747.5

If the quotient is a whole number, then 2 and 303,747.5 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:

1 607,495
-1 -607,495

Now, we try dividing 607,495 by 3:

607,495 ÷ 3 = 202,498.3333

If the quotient is a whole number, then 3 and 202,498.3333 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:

1 607,495
-1 -607,495

Let's try dividing by 4:

607,495 ÷ 4 = 151,873.75

If the quotient is a whole number, then 4 and 151,873.75 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:

1 607,495
-1 607,495
Keep dividing by the next highest number until you cannot divide anymore.

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

1571735851195951,0215,1057,14717,35735,73586,785121,499607,495
-1-5-7-17-35-85-119-595-1,021-5,105-7,147-17,357-35,735-86,785-121,499-607,495

More Examples

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