Q: What are the factor combinations of the number 163,417,231?

 A:
Positive:   1 x 16341723123 x 710509761 x 2678971269 x 607499433 x 3774071403 x 1164776187 x 264139959 x 16409
Negative: -1 x -163417231-23 x -7105097-61 x -2678971-269 x -607499-433 x -377407-1403 x -116477-6187 x -26413-9959 x -16409


How do I find the factor combinations of the number 163,417,231?

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 163,417,231, 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.

1 163,417,231
-1 -163,417,231

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 163,417,231.

Example:
1 x 163,417,231 = 163,417,231
and
-1 x -163,417,231 = 163,417,231
Notice both answers equal 163,417,231

With that explanation out of the way, let's continue. Next, we take the number 163,417,231 and divide it by 2:

163,417,231 ÷ 2 = 81,708,615.5

If the quotient is a whole number, then 2 and 81,708,615.5 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:

1 163,417,231
-1 -163,417,231

Now, we try dividing 163,417,231 by 3:

163,417,231 ÷ 3 = 54,472,410.3333

If the quotient is a whole number, then 3 and 54,472,410.3333 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:

1 163,417,231
-1 -163,417,231

Let's try dividing by 4:

163,417,231 ÷ 4 = 40,854,307.75

If the quotient is a whole number, then 4 and 40,854,307.75 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:

1 163,417,231
-1 163,417,231
Keep dividing by the next highest number until you cannot divide anymore.

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

123612694331,4036,1879,95916,40926,413116,477377,407607,4992,678,9717,105,097163,417,231
-1-23-61-269-433-1,403-6,187-9,959-16,409-26,413-116,477-377,407-607,499-2,678,971-7,105,097-163,417,231

More Examples

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