Q: What are the factor combinations of the number 51,051,017?

 A:
Positive:   1 x 5105101717 x 300300131 x 164680773 x 699329527 x 968711241 x 411371327 x 384712263 x 22559
Negative: -1 x -51051017-17 x -3003001-31 x -1646807-73 x -699329-527 x -96871-1241 x -41137-1327 x -38471-2263 x -22559


How do I find the factor combinations of the number 51,051,017?

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 51,051,017, 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 51,051,017
-1 -51,051,017

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 51,051,017.

Example:
1 x 51,051,017 = 51,051,017
and
-1 x -51,051,017 = 51,051,017
Notice both answers equal 51,051,017

With that explanation out of the way, let's continue. Next, we take the number 51,051,017 and divide it by 2:

51,051,017 ÷ 2 = 25,525,508.5

If the quotient is a whole number, then 2 and 25,525,508.5 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 51,051,017
-1 -51,051,017

Now, we try dividing 51,051,017 by 3:

51,051,017 ÷ 3 = 17,017,005.6667

If the quotient is a whole number, then 3 and 17,017,005.6667 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 51,051,017
-1 -51,051,017

Let's try dividing by 4:

51,051,017 ÷ 4 = 12,762,754.25

If the quotient is a whole number, then 4 and 12,762,754.25 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 51,051,017
-1 51,051,017
Keep dividing by the next highest number until you cannot divide anymore.

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

11731735271,2411,3272,26322,55938,47141,13796,871699,3291,646,8073,003,00151,051,017
-1-17-31-73-527-1,241-1,327-2,263-22,559-38,471-41,137-96,871-699,329-1,646,807-3,003,001-51,051,017

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 51,051,017:


Ask a Question