Q: What are the factor combinations of the number 897,215?

 A:
Positive:   1 x 8972155 x 17944311 x 8156555 x 16313121 x 7415605 x 1483
Negative: -1 x -897215-5 x -179443-11 x -81565-55 x -16313-121 x -7415-605 x -1483


How do I find the factor combinations of the number 897,215?

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 897,215, 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.

1 897,215
-1 -897,215

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 897,215.

Example:
1 x 897,215 = 897,215
and
-1 x -897,215 = 897,215
Notice both answers equal 897,215

With that explanation out of the way, let's continue. Next, we take the number 897,215 and divide it by 2:

897,215 ÷ 2 = 448,607.5

If the quotient is a whole number, then 2 and 448,607.5 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:

1 897,215
-1 -897,215

Now, we try dividing 897,215 by 3:

897,215 ÷ 3 = 299,071.6667

If the quotient is a whole number, then 3 and 299,071.6667 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:

1 897,215
-1 -897,215

Let's try dividing by 4:

897,215 ÷ 4 = 224,303.75

If the quotient is a whole number, then 4 and 224,303.75 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:

1 897,215
-1 897,215
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551216051,4837,41516,31381,565179,443897,215
-1-5-11-55-121-605-1,483-7,415-16,313-81,565-179,443-897,215

More Examples

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