Q: What are the factor combinations of the number 40,352,533?

 A:
Positive:   1 x 4035253313 x 310404137 x 109060943 x 938431481 x 83893559 x 721871591 x 253631951 x 20683
Negative: -1 x -40352533-13 x -3104041-37 x -1090609-43 x -938431-481 x -83893-559 x -72187-1591 x -25363-1951 x -20683


How do I find the factor combinations of the number 40,352,533?

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 40,352,533, 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 40,352,533
-1 -40,352,533

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 40,352,533.

Example:
1 x 40,352,533 = 40,352,533
and
-1 x -40,352,533 = 40,352,533
Notice both answers equal 40,352,533

With that explanation out of the way, let's continue. Next, we take the number 40,352,533 and divide it by 2:

40,352,533 ÷ 2 = 20,176,266.5

If the quotient is a whole number, then 2 and 20,176,266.5 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 40,352,533
-1 -40,352,533

Now, we try dividing 40,352,533 by 3:

40,352,533 ÷ 3 = 13,450,844.3333

If the quotient is a whole number, then 3 and 13,450,844.3333 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 40,352,533
-1 -40,352,533

Let's try dividing by 4:

40,352,533 ÷ 4 = 10,088,133.25

If the quotient is a whole number, then 4 and 10,088,133.25 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 40,352,533
-1 40,352,533
Keep dividing by the next highest number until you cannot divide anymore.

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

11337434815591,5911,95120,68325,36372,18783,893938,4311,090,6093,104,04140,352,533
-1-13-37-43-481-559-1,591-1,951-20,683-25,363-72,187-83,893-938,431-1,090,609-3,104,041-40,352,533

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 40,352,533:


Ask a Question