Q: What are the factor combinations of the number 51,164,165?

 A:
Positive:   1 x 511641655 x 1023283313 x 393570565 x 787141311 x 1645151555 x 329032531 x 202154043 x 12655
Negative: -1 x -51164165-5 x -10232833-13 x -3935705-65 x -787141-311 x -164515-1555 x -32903-2531 x -20215-4043 x -12655


How do I find the factor combinations of the number 51,164,165?

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 51,164,165, 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 51,164,165
-1 -51,164,165

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 51,164,165.

Example:
1 x 51,164,165 = 51,164,165
and
-1 x -51,164,165 = 51,164,165
Notice both answers equal 51,164,165

With that explanation out of the way, let's continue. Next, we take the number 51,164,165 and divide it by 2:

51,164,165 ÷ 2 = 25,582,082.5

If the quotient is a whole number, then 2 and 25,582,082.5 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 51,164,165
-1 -51,164,165

Now, we try dividing 51,164,165 by 3:

51,164,165 ÷ 3 = 17,054,721.6667

If the quotient is a whole number, then 3 and 17,054,721.6667 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 51,164,165
-1 -51,164,165

Let's try dividing by 4:

51,164,165 ÷ 4 = 12,791,041.25

If the quotient is a whole number, then 4 and 12,791,041.25 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 51,164,165
-1 51,164,165
Keep dividing by the next highest number until you cannot divide anymore.

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

1513653111,5552,5314,04312,65520,21532,903164,515787,1413,935,70510,232,83351,164,165
-1-5-13-65-311-1,555-2,531-4,043-12,655-20,215-32,903-164,515-787,141-3,935,705-10,232,833-51,164,165

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 51,164,165:


Ask a Question