Q: What are the factor combinations of the number 163,455,703?

 A:
Positive:   1 x 16345570371 x 2302193307 x 5324297499 x 21797
Negative: -1 x -163455703-71 x -2302193-307 x -532429-7499 x -21797


How do I find the factor combinations of the number 163,455,703?

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 163,455,703, 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.

1 163,455,703
-1 -163,455,703

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 163,455,703.

Example:
1 x 163,455,703 = 163,455,703
and
-1 x -163,455,703 = 163,455,703
Notice both answers equal 163,455,703

With that explanation out of the way, let's continue. Next, we take the number 163,455,703 and divide it by 2:

163,455,703 ÷ 2 = 81,727,851.5

If the quotient is a whole number, then 2 and 81,727,851.5 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:

1 163,455,703
-1 -163,455,703

Now, we try dividing 163,455,703 by 3:

163,455,703 ÷ 3 = 54,485,234.3333

If the quotient is a whole number, then 3 and 54,485,234.3333 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:

1 163,455,703
-1 -163,455,703

Let's try dividing by 4:

163,455,703 ÷ 4 = 40,863,925.75

If the quotient is a whole number, then 4 and 40,863,925.75 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:

1 163,455,703
-1 163,455,703
Keep dividing by the next highest number until you cannot divide anymore.

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

1713077,49921,797532,4292,302,193163,455,703
-1-71-307-7,499-21,797-532,429-2,302,193-163,455,703

More Examples

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