Q: What are the factor combinations of the number 523,400,429?

 A:
Positive:   1 x 52340042919 x 2754739143 x 12172103337 x 1553117817 x 6406371901 x 2753296403 x 8174314491 x 36119
Negative: -1 x -523400429-19 x -27547391-43 x -12172103-337 x -1553117-817 x -640637-1901 x -275329-6403 x -81743-14491 x -36119


How do I find the factor combinations of the number 523,400,429?

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 523,400,429, 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.

1 523,400,429
-1 -523,400,429

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 523,400,429.

Example:
1 x 523,400,429 = 523,400,429
and
-1 x -523,400,429 = 523,400,429
Notice both answers equal 523,400,429

With that explanation out of the way, let's continue. Next, we take the number 523,400,429 and divide it by 2:

523,400,429 ÷ 2 = 261,700,214.5

If the quotient is a whole number, then 2 and 261,700,214.5 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:

1 523,400,429
-1 -523,400,429

Now, we try dividing 523,400,429 by 3:

523,400,429 ÷ 3 = 174,466,809.6667

If the quotient is a whole number, then 3 and 174,466,809.6667 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:

1 523,400,429
-1 -523,400,429

Let's try dividing by 4:

523,400,429 ÷ 4 = 130,850,107.25

If the quotient is a whole number, then 4 and 130,850,107.25 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:

1 523,400,429
-1 523,400,429
Keep dividing by the next highest number until you cannot divide anymore.

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

119433378171,9016,40314,49136,11981,743275,329640,6371,553,11712,172,10327,547,391523,400,429
-1-19-43-337-817-1,901-6,403-14,491-36,119-81,743-275,329-640,637-1,553,117-12,172,103-27,547,391-523,400,429

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