Q: What are the factor combinations of the number 431,463,545?

 A:
Positive:   1 x 4314635455 x 8629270989 x 4847905445 x 969581521 x 8281451861 x 2318452605 x 1656299305 x 46369
Negative: -1 x -431463545-5 x -86292709-89 x -4847905-445 x -969581-521 x -828145-1861 x -231845-2605 x -165629-9305 x -46369


How do I find the factor combinations of the number 431,463,545?

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 431,463,545, 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.

1 431,463,545
-1 -431,463,545

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 431,463,545.

Example:
1 x 431,463,545 = 431,463,545
and
-1 x -431,463,545 = 431,463,545
Notice both answers equal 431,463,545

With that explanation out of the way, let's continue. Next, we take the number 431,463,545 and divide it by 2:

431,463,545 ÷ 2 = 215,731,772.5

If the quotient is a whole number, then 2 and 215,731,772.5 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:

1 431,463,545
-1 -431,463,545

Now, we try dividing 431,463,545 by 3:

431,463,545 ÷ 3 = 143,821,181.6667

If the quotient is a whole number, then 3 and 143,821,181.6667 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:

1 431,463,545
-1 -431,463,545

Let's try dividing by 4:

431,463,545 ÷ 4 = 107,865,886.25

If the quotient is a whole number, then 4 and 107,865,886.25 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:

1 431,463,545
-1 431,463,545
Keep dividing by the next highest number until you cannot divide anymore.

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

15894455211,8612,6059,30546,369165,629231,845828,145969,5814,847,90586,292,709431,463,545
-1-5-89-445-521-1,861-2,605-9,305-46,369-165,629-231,845-828,145-969,581-4,847,905-86,292,709-431,463,545

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 431,463,545:


Ask a Question