Q: What are the factor combinations of the number 162,563,561?

 A:
Positive:   1 x 16256356153 x 306723797 x 1675913103 x 1578287307 x 5295235141 x 316215459 x 297799991 x 16271
Negative: -1 x -162563561-53 x -3067237-97 x -1675913-103 x -1578287-307 x -529523-5141 x -31621-5459 x -29779-9991 x -16271


How do I find the factor combinations of the number 162,563,561?

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 162,563,561, 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.

1 162,563,561
-1 -162,563,561

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 162,563,561.

Example:
1 x 162,563,561 = 162,563,561
and
-1 x -162,563,561 = 162,563,561
Notice both answers equal 162,563,561

With that explanation out of the way, let's continue. Next, we take the number 162,563,561 and divide it by 2:

162,563,561 ÷ 2 = 81,281,780.5

If the quotient is a whole number, then 2 and 81,281,780.5 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:

1 162,563,561
-1 -162,563,561

Now, we try dividing 162,563,561 by 3:

162,563,561 ÷ 3 = 54,187,853.6667

If the quotient is a whole number, then 3 and 54,187,853.6667 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:

1 162,563,561
-1 -162,563,561

Let's try dividing by 4:

162,563,561 ÷ 4 = 40,640,890.25

If the quotient is a whole number, then 4 and 40,640,890.25 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:

1 162,563,561
-1 162,563,561
Keep dividing by the next highest number until you cannot divide anymore.

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

153971033075,1415,4599,99116,27129,77931,621529,5231,578,2871,675,9133,067,237162,563,561
-1-53-97-103-307-5,141-5,459-9,991-16,271-29,779-31,621-529,523-1,578,287-1,675,913-3,067,237-162,563,561

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 162,563,561:


Ask a Question