Q: What are the factor combinations of the number 423,331,415?

 A:
Positive:   1 x 4233314155 x 8466628313 x 3256395529 x 1459763565 x 6512791145 x 2919527377 x 11228951885 x 224579
Negative: -1 x -423331415-5 x -84666283-13 x -32563955-29 x -14597635-65 x -6512791-145 x -2919527-377 x -1122895-1885 x -224579


How do I find the factor combinations of the number 423,331,415?

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 423,331,415, 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.

1 423,331,415
-1 -423,331,415

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 423,331,415.

Example:
1 x 423,331,415 = 423,331,415
and
-1 x -423,331,415 = 423,331,415
Notice both answers equal 423,331,415

With that explanation out of the way, let's continue. Next, we take the number 423,331,415 and divide it by 2:

423,331,415 ÷ 2 = 211,665,707.5

If the quotient is a whole number, then 2 and 211,665,707.5 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:

1 423,331,415
-1 -423,331,415

Now, we try dividing 423,331,415 by 3:

423,331,415 ÷ 3 = 141,110,471.6667

If the quotient is a whole number, then 3 and 141,110,471.6667 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:

1 423,331,415
-1 -423,331,415

Let's try dividing by 4:

423,331,415 ÷ 4 = 105,832,853.75

If the quotient is a whole number, then 4 and 105,832,853.75 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:

1 423,331,415
-1 423,331,415
Keep dividing by the next highest number until you cannot divide anymore.

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

151329651453771,885224,5791,122,8952,919,5276,512,79114,597,63532,563,95584,666,283423,331,415
-1-5-13-29-65-145-377-1,885-224,579-1,122,895-2,919,527-6,512,791-14,597,635-32,563,955-84,666,283-423,331,415

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