Q: What are the factor combinations of the number 300,451,435?

 A:
Positive:   1 x 3004514355 x 6009028753 x 5668895229 x 1312015265 x 11337791145 x 2624034951 x 6068512137 x 24755
Negative: -1 x -300451435-5 x -60090287-53 x -5668895-229 x -1312015-265 x -1133779-1145 x -262403-4951 x -60685-12137 x -24755


How do I find the factor combinations of the number 300,451,435?

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 300,451,435, 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.

1 300,451,435
-1 -300,451,435

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 300,451,435.

Example:
1 x 300,451,435 = 300,451,435
and
-1 x -300,451,435 = 300,451,435
Notice both answers equal 300,451,435

With that explanation out of the way, let's continue. Next, we take the number 300,451,435 and divide it by 2:

300,451,435 ÷ 2 = 150,225,717.5

If the quotient is a whole number, then 2 and 150,225,717.5 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:

1 300,451,435
-1 -300,451,435

Now, we try dividing 300,451,435 by 3:

300,451,435 ÷ 3 = 100,150,478.3333

If the quotient is a whole number, then 3 and 100,150,478.3333 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:

1 300,451,435
-1 -300,451,435

Let's try dividing by 4:

300,451,435 ÷ 4 = 75,112,858.75

If the quotient is a whole number, then 4 and 75,112,858.75 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:

1 300,451,435
-1 300,451,435
Keep dividing by the next highest number until you cannot divide anymore.

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

15532292651,1454,95112,13724,75560,685262,4031,133,7791,312,0155,668,89560,090,287300,451,435
-1-5-53-229-265-1,145-4,951-12,137-24,755-60,685-262,403-1,133,779-1,312,015-5,668,895-60,090,287-300,451,435

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