Q: What are the factor combinations of the number 351,325?

 A:
Positive:   1 x 3513255 x 7026513 x 2702523 x 1527525 x 1405347 x 747565 x 5405115 x 3055235 x 1495299 x 1175325 x 1081575 x 611
Negative: -1 x -351325-5 x -70265-13 x -27025-23 x -15275-25 x -14053-47 x -7475-65 x -5405-115 x -3055-235 x -1495-299 x -1175-325 x -1081-575 x -611


How do I find the factor combinations of the number 351,325?

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 351,325, 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.

1 351,325
-1 -351,325

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 351,325.

Example:
1 x 351,325 = 351,325
and
-1 x -351,325 = 351,325
Notice both answers equal 351,325

With that explanation out of the way, let's continue. Next, we take the number 351,325 and divide it by 2:

351,325 ÷ 2 = 175,662.5

If the quotient is a whole number, then 2 and 175,662.5 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:

1 351,325
-1 -351,325

Now, we try dividing 351,325 by 3:

351,325 ÷ 3 = 117,108.3333

If the quotient is a whole number, then 3 and 117,108.3333 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:

1 351,325
-1 -351,325

Let's try dividing by 4:

351,325 ÷ 4 = 87,831.25

If the quotient is a whole number, then 4 and 87,831.25 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:

1 351,325
-1 351,325
Keep dividing by the next highest number until you cannot divide anymore.

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

1513232547651152352993255756111,0811,1751,4953,0555,4057,47514,05315,27527,02570,265351,325
-1-5-13-23-25-47-65-115-235-299-325-575-611-1,081-1,175-1,495-3,055-5,405-7,475-14,053-15,275-27,025-70,265-351,325

More Examples

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