Q: What are the factor combinations of the number 431,054,437?

 A:
Positive:   1 x 43105443711 x 3918676747 x 9171371349 x 1235113517 x 8337612389 x 1804333839 x 11228316403 x 26279
Negative: -1 x -431054437-11 x -39186767-47 x -9171371-349 x -1235113-517 x -833761-2389 x -180433-3839 x -112283-16403 x -26279


How do I find the factor combinations of the number 431,054,437?

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 431,054,437, 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.

1 431,054,437
-1 -431,054,437

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 431,054,437.

Example:
1 x 431,054,437 = 431,054,437
and
-1 x -431,054,437 = 431,054,437
Notice both answers equal 431,054,437

With that explanation out of the way, let's continue. Next, we take the number 431,054,437 and divide it by 2:

431,054,437 ÷ 2 = 215,527,218.5

If the quotient is a whole number, then 2 and 215,527,218.5 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:

1 431,054,437
-1 -431,054,437

Now, we try dividing 431,054,437 by 3:

431,054,437 ÷ 3 = 143,684,812.3333

If the quotient is a whole number, then 3 and 143,684,812.3333 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:

1 431,054,437
-1 -431,054,437

Let's try dividing by 4:

431,054,437 ÷ 4 = 107,763,609.25

If the quotient is a whole number, then 4 and 107,763,609.25 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:

1 431,054,437
-1 431,054,437
Keep dividing by the next highest number until you cannot divide anymore.

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

111473495172,3893,83916,40326,279112,283180,433833,7611,235,1139,171,37139,186,767431,054,437
-1-11-47-349-517-2,389-3,839-16,403-26,279-112,283-180,433-833,761-1,235,113-9,171,371-39,186,767-431,054,437

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