Q: What are the factor combinations of the number 405,463,045?

 A:
Positive:   1 x 4054630455 x 8109260913 x 3118946559 x 687225565 x 6237893295 x 1374451767 x 5286353835 x 105727
Negative: -1 x -405463045-5 x -81092609-13 x -31189465-59 x -6872255-65 x -6237893-295 x -1374451-767 x -528635-3835 x -105727


How do I find the factor combinations of the number 405,463,045?

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 405,463,045, 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.

1 405,463,045
-1 -405,463,045

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 405,463,045.

Example:
1 x 405,463,045 = 405,463,045
and
-1 x -405,463,045 = 405,463,045
Notice both answers equal 405,463,045

With that explanation out of the way, let's continue. Next, we take the number 405,463,045 and divide it by 2:

405,463,045 ÷ 2 = 202,731,522.5

If the quotient is a whole number, then 2 and 202,731,522.5 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:

1 405,463,045
-1 -405,463,045

Now, we try dividing 405,463,045 by 3:

405,463,045 ÷ 3 = 135,154,348.3333

If the quotient is a whole number, then 3 and 135,154,348.3333 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:

1 405,463,045
-1 -405,463,045

Let's try dividing by 4:

405,463,045 ÷ 4 = 101,365,761.25

If the quotient is a whole number, then 4 and 101,365,761.25 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:

1 405,463,045
-1 405,463,045
Keep dividing by the next highest number until you cannot divide anymore.

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

151359652957673,835105,727528,6351,374,4516,237,8936,872,25531,189,46581,092,609405,463,045
-1-5-13-59-65-295-767-3,835-105,727-528,635-1,374,451-6,237,893-6,872,255-31,189,465-81,092,609-405,463,045

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 405,463,045:


Ask a Question