Q: What are the factor combinations of the number 1,432,933?

 A:
Positive:   1 x 143293359 x 24287149 x 9617163 x 8791
Negative: -1 x -1432933-59 x -24287-149 x -9617-163 x -8791


How do I find the factor combinations of the number 1,432,933?

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 1,432,933, 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 1,432,933
-1 -1,432,933

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 1,432,933.

Example:
1 x 1,432,933 = 1,432,933
and
-1 x -1,432,933 = 1,432,933
Notice both answers equal 1,432,933

With that explanation out of the way, let's continue. Next, we take the number 1,432,933 and divide it by 2:

1,432,933 ÷ 2 = 716,466.5

If the quotient is a whole number, then 2 and 716,466.5 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 1,432,933
-1 -1,432,933

Now, we try dividing 1,432,933 by 3:

1,432,933 ÷ 3 = 477,644.3333

If the quotient is a whole number, then 3 and 477,644.3333 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 1,432,933
-1 -1,432,933

Let's try dividing by 4:

1,432,933 ÷ 4 = 358,233.25

If the quotient is a whole number, then 4 and 358,233.25 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 1,432,933
-1 1,432,933
Keep dividing by the next highest number until you cannot divide anymore.

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

1591491638,7919,61724,2871,432,933
-1-59-149-163-8,791-9,617-24,287-1,432,933

More Examples

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