Q: What are the factor combinations of the number 32,046,685?

 A:
Positive:   1 x 320466855 x 640933711 x 291333555 x 582667193 x 166045965 x 332092123 x 150953019 x 10615
Negative: -1 x -32046685-5 x -6409337-11 x -2913335-55 x -582667-193 x -166045-965 x -33209-2123 x -15095-3019 x -10615


How do I find the factor combinations of the number 32,046,685?

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 32,046,685, 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 32,046,685
-1 -32,046,685

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 32,046,685.

Example:
1 x 32,046,685 = 32,046,685
and
-1 x -32,046,685 = 32,046,685
Notice both answers equal 32,046,685

With that explanation out of the way, let's continue. Next, we take the number 32,046,685 and divide it by 2:

32,046,685 ÷ 2 = 16,023,342.5

If the quotient is a whole number, then 2 and 16,023,342.5 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 32,046,685
-1 -32,046,685

Now, we try dividing 32,046,685 by 3:

32,046,685 ÷ 3 = 10,682,228.3333

If the quotient is a whole number, then 3 and 10,682,228.3333 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 32,046,685
-1 -32,046,685

Let's try dividing by 4:

32,046,685 ÷ 4 = 8,011,671.25

If the quotient is a whole number, then 4 and 8,011,671.25 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 32,046,685
-1 32,046,685
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551939652,1233,01910,61515,09533,209166,045582,6672,913,3356,409,33732,046,685
-1-5-11-55-193-965-2,123-3,019-10,615-15,095-33,209-166,045-582,667-2,913,335-6,409,337-32,046,685

More Examples

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