Q: What are the factor combinations of the number 715,225?

 A:
Positive:   1 x 7152255 x 1430457 x 10217525 x 2860935 x 2043561 x 1172567 x 10675175 x 4087305 x 2345335 x 2135427 x 1675469 x 1525
Negative: -1 x -715225-5 x -143045-7 x -102175-25 x -28609-35 x -20435-61 x -11725-67 x -10675-175 x -4087-305 x -2345-335 x -2135-427 x -1675-469 x -1525


How do I find the factor combinations of the number 715,225?

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 715,225, 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.

1 715,225
-1 -715,225

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 715,225.

Example:
1 x 715,225 = 715,225
and
-1 x -715,225 = 715,225
Notice both answers equal 715,225

With that explanation out of the way, let's continue. Next, we take the number 715,225 and divide it by 2:

715,225 ÷ 2 = 357,612.5

If the quotient is a whole number, then 2 and 357,612.5 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:

1 715,225
-1 -715,225

Now, we try dividing 715,225 by 3:

715,225 ÷ 3 = 238,408.3333

If the quotient is a whole number, then 3 and 238,408.3333 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:

1 715,225
-1 -715,225

Let's try dividing by 4:

715,225 ÷ 4 = 178,806.25

If the quotient is a whole number, then 4 and 178,806.25 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:

1 715,225
-1 715,225
Keep dividing by the next highest number until you cannot divide anymore.

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

157253561671753053354274691,5251,6752,1352,3454,08710,67511,72520,43528,609102,175143,045715,225
-1-5-7-25-35-61-67-175-305-335-427-469-1,525-1,675-2,135-2,345-4,087-10,675-11,725-20,435-28,609-102,175-143,045-715,225

More Examples

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