Q: What are the factor combinations of the number 43,300,345?

 A:
Positive:   1 x 433003455 x 866006911 x 393639555 x 787279607 x 713351297 x 333853035 x 142676485 x 6677
Negative: -1 x -43300345-5 x -8660069-11 x -3936395-55 x -787279-607 x -71335-1297 x -33385-3035 x -14267-6485 x -6677


How do I find the factor combinations of the number 43,300,345?

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 43,300,345, 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 43,300,345
-1 -43,300,345

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 43,300,345.

Example:
1 x 43,300,345 = 43,300,345
and
-1 x -43,300,345 = 43,300,345
Notice both answers equal 43,300,345

With that explanation out of the way, let's continue. Next, we take the number 43,300,345 and divide it by 2:

43,300,345 ÷ 2 = 21,650,172.5

If the quotient is a whole number, then 2 and 21,650,172.5 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 43,300,345
-1 -43,300,345

Now, we try dividing 43,300,345 by 3:

43,300,345 ÷ 3 = 14,433,448.3333

If the quotient is a whole number, then 3 and 14,433,448.3333 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 43,300,345
-1 -43,300,345

Let's try dividing by 4:

43,300,345 ÷ 4 = 10,825,086.25

If the quotient is a whole number, then 4 and 10,825,086.25 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 43,300,345
-1 43,300,345
Keep dividing by the next highest number until you cannot divide anymore.

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

1511556071,2973,0356,4856,67714,26733,38571,335787,2793,936,3958,660,06943,300,345
-1-5-11-55-607-1,297-3,035-6,485-6,677-14,267-33,385-71,335-787,279-3,936,395-8,660,069-43,300,345

More Examples

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