Q: What are the factor combinations of the number 32,456,567?

 A:
Positive:   1 x 3245656711 x 295059713 x 2496659143 x 226969263 x 123409863 x 376092893 x 112193419 x 9493
Negative: -1 x -32456567-11 x -2950597-13 x -2496659-143 x -226969-263 x -123409-863 x -37609-2893 x -11219-3419 x -9493


How do I find the factor combinations of the number 32,456,567?

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 32,456,567, 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 32,456,567
-1 -32,456,567

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 32,456,567.

Example:
1 x 32,456,567 = 32,456,567
and
-1 x -32,456,567 = 32,456,567
Notice both answers equal 32,456,567

With that explanation out of the way, let's continue. Next, we take the number 32,456,567 and divide it by 2:

32,456,567 ÷ 2 = 16,228,283.5

If the quotient is a whole number, then 2 and 16,228,283.5 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 32,456,567
-1 -32,456,567

Now, we try dividing 32,456,567 by 3:

32,456,567 ÷ 3 = 10,818,855.6667

If the quotient is a whole number, then 3 and 10,818,855.6667 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 32,456,567
-1 -32,456,567

Let's try dividing by 4:

32,456,567 ÷ 4 = 8,114,141.75

If the quotient is a whole number, then 4 and 8,114,141.75 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 32,456,567
-1 32,456,567
Keep dividing by the next highest number until you cannot divide anymore.

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

111131432638632,8933,4199,49311,21937,609123,409226,9692,496,6592,950,59732,456,567
-1-11-13-143-263-863-2,893-3,419-9,493-11,219-37,609-123,409-226,969-2,496,659-2,950,597-32,456,567

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 32,456,567:


Ask a Question