Q: What are the factor combinations of the number 42,824,431?

 A:
Positive:   1 x 4282443113 x 329418743 x 99591771 x 60316183 x 515957169 x 253399559 x 76609923 x 463971079 x 396893053 x 140273569 x 119995893 x 7267
Negative: -1 x -42824431-13 x -3294187-43 x -995917-71 x -603161-83 x -515957-169 x -253399-559 x -76609-923 x -46397-1079 x -39689-3053 x -14027-3569 x -11999-5893 x -7267


How do I find the factor combinations of the number 42,824,431?

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 42,824,431, 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 42,824,431
-1 -42,824,431

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 42,824,431.

Example:
1 x 42,824,431 = 42,824,431
and
-1 x -42,824,431 = 42,824,431
Notice both answers equal 42,824,431

With that explanation out of the way, let's continue. Next, we take the number 42,824,431 and divide it by 2:

42,824,431 ÷ 2 = 21,412,215.5

If the quotient is a whole number, then 2 and 21,412,215.5 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 42,824,431
-1 -42,824,431

Now, we try dividing 42,824,431 by 3:

42,824,431 ÷ 3 = 14,274,810.3333

If the quotient is a whole number, then 3 and 14,274,810.3333 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 42,824,431
-1 -42,824,431

Let's try dividing by 4:

42,824,431 ÷ 4 = 10,706,107.75

If the quotient is a whole number, then 4 and 10,706,107.75 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 42,824,431
-1 42,824,431
Keep dividing by the next highest number until you cannot divide anymore.

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

1134371831695599231,0793,0533,5695,8937,26711,99914,02739,68946,39776,609253,399515,957603,161995,9173,294,18742,824,431
-1-13-43-71-83-169-559-923-1,079-3,053-3,569-5,893-7,267-11,999-14,027-39,689-46,397-76,609-253,399-515,957-603,161-995,917-3,294,187-42,824,431

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