Q: What are the factor combinations of the number 162,354,505?

 A:
Positive:   1 x 1623545055 x 3247090117 x 955026585 x 1910053593 x 2737852965 x 547573221 x 5040510081 x 16105
Negative: -1 x -162354505-5 x -32470901-17 x -9550265-85 x -1910053-593 x -273785-2965 x -54757-3221 x -50405-10081 x -16105


How do I find the factor combinations of the number 162,354,505?

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 162,354,505, 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.

1 162,354,505
-1 -162,354,505

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 162,354,505.

Example:
1 x 162,354,505 = 162,354,505
and
-1 x -162,354,505 = 162,354,505
Notice both answers equal 162,354,505

With that explanation out of the way, let's continue. Next, we take the number 162,354,505 and divide it by 2:

162,354,505 ÷ 2 = 81,177,252.5

If the quotient is a whole number, then 2 and 81,177,252.5 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:

1 162,354,505
-1 -162,354,505

Now, we try dividing 162,354,505 by 3:

162,354,505 ÷ 3 = 54,118,168.3333

If the quotient is a whole number, then 3 and 54,118,168.3333 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:

1 162,354,505
-1 -162,354,505

Let's try dividing by 4:

162,354,505 ÷ 4 = 40,588,626.25

If the quotient is a whole number, then 4 and 40,588,626.25 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:

1 162,354,505
-1 162,354,505
Keep dividing by the next highest number until you cannot divide anymore.

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

1517855932,9653,22110,08116,10550,40554,757273,7851,910,0539,550,26532,470,901162,354,505
-1-5-17-85-593-2,965-3,221-10,081-16,105-50,405-54,757-273,785-1,910,053-9,550,265-32,470,901-162,354,505

More Examples

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