Q: What are the factor combinations of the number 40,153,465?

 A:
Positive:   1 x 401534655 x 803069311 x 365031555 x 730063131 x 306515655 x 613031441 x 278655573 x 7205
Negative: -1 x -40153465-5 x -8030693-11 x -3650315-55 x -730063-131 x -306515-655 x -61303-1441 x -27865-5573 x -7205


How do I find the factor combinations of the number 40,153,465?

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 40,153,465, 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 40,153,465
-1 -40,153,465

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 40,153,465.

Example:
1 x 40,153,465 = 40,153,465
and
-1 x -40,153,465 = 40,153,465
Notice both answers equal 40,153,465

With that explanation out of the way, let's continue. Next, we take the number 40,153,465 and divide it by 2:

40,153,465 ÷ 2 = 20,076,732.5

If the quotient is a whole number, then 2 and 20,076,732.5 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 40,153,465
-1 -40,153,465

Now, we try dividing 40,153,465 by 3:

40,153,465 ÷ 3 = 13,384,488.3333

If the quotient is a whole number, then 3 and 13,384,488.3333 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 40,153,465
-1 -40,153,465

Let's try dividing by 4:

40,153,465 ÷ 4 = 10,038,366.25

If the quotient is a whole number, then 4 and 10,038,366.25 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 40,153,465
-1 40,153,465
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551316551,4415,5737,20527,86561,303306,515730,0633,650,3158,030,69340,153,465
-1-5-11-55-131-655-1,441-5,573-7,205-27,865-61,303-306,515-730,063-3,650,315-8,030,693-40,153,465

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 40,153,465:


Ask a Question