Q: What are the factor combinations of the number 51,425,869?

 A:
Positive:   1 x 5142586911 x 467507931 x 1658899239 x 215171341 x 150809631 x 814992629 x 195616941 x 7409
Negative: -1 x -51425869-11 x -4675079-31 x -1658899-239 x -215171-341 x -150809-631 x -81499-2629 x -19561-6941 x -7409


How do I find the factor combinations of the number 51,425,869?

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 51,425,869, 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 51,425,869
-1 -51,425,869

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 51,425,869.

Example:
1 x 51,425,869 = 51,425,869
and
-1 x -51,425,869 = 51,425,869
Notice both answers equal 51,425,869

With that explanation out of the way, let's continue. Next, we take the number 51,425,869 and divide it by 2:

51,425,869 ÷ 2 = 25,712,934.5

If the quotient is a whole number, then 2 and 25,712,934.5 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 51,425,869
-1 -51,425,869

Now, we try dividing 51,425,869 by 3:

51,425,869 ÷ 3 = 17,141,956.3333

If the quotient is a whole number, then 3 and 17,141,956.3333 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 51,425,869
-1 -51,425,869

Let's try dividing by 4:

51,425,869 ÷ 4 = 12,856,467.25

If the quotient is a whole number, then 4 and 12,856,467.25 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 51,425,869
-1 51,425,869
Keep dividing by the next highest number until you cannot divide anymore.

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

111312393416312,6296,9417,40919,56181,499150,809215,1711,658,8994,675,07951,425,869
-1-11-31-239-341-631-2,629-6,941-7,409-19,561-81,499-150,809-215,171-1,658,899-4,675,079-51,425,869

More Examples

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