Q: What are the factor combinations of the number 424,146,215?

 A:
Positive:   1 x 4241462155 x 8482924319 x 2232348595 x 4464697593 x 7152552965 x 1430517529 x 5633511267 x 37645
Negative: -1 x -424146215-5 x -84829243-19 x -22323485-95 x -4464697-593 x -715255-2965 x -143051-7529 x -56335-11267 x -37645


How do I find the factor combinations of the number 424,146,215?

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 424,146,215, 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.

1 424,146,215
-1 -424,146,215

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 424,146,215.

Example:
1 x 424,146,215 = 424,146,215
and
-1 x -424,146,215 = 424,146,215
Notice both answers equal 424,146,215

With that explanation out of the way, let's continue. Next, we take the number 424,146,215 and divide it by 2:

424,146,215 ÷ 2 = 212,073,107.5

If the quotient is a whole number, then 2 and 212,073,107.5 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:

1 424,146,215
-1 -424,146,215

Now, we try dividing 424,146,215 by 3:

424,146,215 ÷ 3 = 141,382,071.6667

If the quotient is a whole number, then 3 and 141,382,071.6667 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:

1 424,146,215
-1 -424,146,215

Let's try dividing by 4:

424,146,215 ÷ 4 = 106,036,553.75

If the quotient is a whole number, then 4 and 106,036,553.75 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:

1 424,146,215
-1 424,146,215
Keep dividing by the next highest number until you cannot divide anymore.

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

1519955932,9657,52911,26737,64556,335143,051715,2554,464,69722,323,48584,829,243424,146,215
-1-5-19-95-593-2,965-7,529-11,267-37,645-56,335-143,051-715,255-4,464,697-22,323,485-84,829,243-424,146,215

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