Q: What are the factor combinations of the number 51,462,671?

 A:
Positive:   1 x 5146267113 x 395866737 x 139088397 x 530543481 x 1069911103 x 466571261 x 408113589 x 14339
Negative: -1 x -51462671-13 x -3958667-37 x -1390883-97 x -530543-481 x -106991-1103 x -46657-1261 x -40811-3589 x -14339


How do I find the factor combinations of the number 51,462,671?

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 51,462,671, 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 51,462,671
-1 -51,462,671

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 51,462,671.

Example:
1 x 51,462,671 = 51,462,671
and
-1 x -51,462,671 = 51,462,671
Notice both answers equal 51,462,671

With that explanation out of the way, let's continue. Next, we take the number 51,462,671 and divide it by 2:

51,462,671 ÷ 2 = 25,731,335.5

If the quotient is a whole number, then 2 and 25,731,335.5 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 51,462,671
-1 -51,462,671

Now, we try dividing 51,462,671 by 3:

51,462,671 ÷ 3 = 17,154,223.6667

If the quotient is a whole number, then 3 and 17,154,223.6667 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 51,462,671
-1 -51,462,671

Let's try dividing by 4:

51,462,671 ÷ 4 = 12,865,667.75

If the quotient is a whole number, then 4 and 12,865,667.75 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 51,462,671
-1 51,462,671
Keep dividing by the next highest number until you cannot divide anymore.

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

11337974811,1031,2613,58914,33940,81146,657106,991530,5431,390,8833,958,66751,462,671
-1-13-37-97-481-1,103-1,261-3,589-14,339-40,811-46,657-106,991-530,543-1,390,883-3,958,667-51,462,671

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 51,462,671:


Ask a Question