Q: What are the factor combinations of the number 9,598,421?

 A:
Positive:   1 x 95984217 x 137120317 x 56461379 x 121499119 x 80659553 x 173571021 x 94011343 x 7147
Negative: -1 x -9598421-7 x -1371203-17 x -564613-79 x -121499-119 x -80659-553 x -17357-1021 x -9401-1343 x -7147


How do I find the factor combinations of the number 9,598,421?

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 9,598,421, 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 9,598,421
-1 -9,598,421

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 9,598,421.

Example:
1 x 9,598,421 = 9,598,421
and
-1 x -9,598,421 = 9,598,421
Notice both answers equal 9,598,421

With that explanation out of the way, let's continue. Next, we take the number 9,598,421 and divide it by 2:

9,598,421 ÷ 2 = 4,799,210.5

If the quotient is a whole number, then 2 and 4,799,210.5 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 9,598,421
-1 -9,598,421

Now, we try dividing 9,598,421 by 3:

9,598,421 ÷ 3 = 3,199,473.6667

If the quotient is a whole number, then 3 and 3,199,473.6667 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 9,598,421
-1 -9,598,421

Let's try dividing by 4:

9,598,421 ÷ 4 = 2,399,605.25

If the quotient is a whole number, then 4 and 2,399,605.25 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 9,598,421
-1 9,598,421
Keep dividing by the next highest number until you cannot divide anymore.

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

1717791195531,0211,3437,1479,40117,35780,659121,499564,6131,371,2039,598,421
-1-7-17-79-119-553-1,021-1,343-7,147-9,401-17,357-80,659-121,499-564,613-1,371,203-9,598,421

More Examples

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