Q: What are the factor combinations of the number 299,927,095?

 A:
Positive:   1 x 2999270955 x 5998541913 x 2307131541 x 731529565 x 4614263205 x 1463059533 x 5627152665 x 112543
Negative: -1 x -299927095-5 x -59985419-13 x -23071315-41 x -7315295-65 x -4614263-205 x -1463059-533 x -562715-2665 x -112543


How do I find the factor combinations of the number 299,927,095?

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 299,927,095, 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.

1 299,927,095
-1 -299,927,095

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 299,927,095.

Example:
1 x 299,927,095 = 299,927,095
and
-1 x -299,927,095 = 299,927,095
Notice both answers equal 299,927,095

With that explanation out of the way, let's continue. Next, we take the number 299,927,095 and divide it by 2:

299,927,095 ÷ 2 = 149,963,547.5

If the quotient is a whole number, then 2 and 149,963,547.5 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:

1 299,927,095
-1 -299,927,095

Now, we try dividing 299,927,095 by 3:

299,927,095 ÷ 3 = 99,975,698.3333

If the quotient is a whole number, then 3 and 99,975,698.3333 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:

1 299,927,095
-1 -299,927,095

Let's try dividing by 4:

299,927,095 ÷ 4 = 74,981,773.75

If the quotient is a whole number, then 4 and 74,981,773.75 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:

1 299,927,095
-1 299,927,095
Keep dividing by the next highest number until you cannot divide anymore.

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

151341652055332,665112,543562,7151,463,0594,614,2637,315,29523,071,31559,985,419299,927,095
-1-5-13-41-65-205-533-2,665-112,543-562,715-1,463,059-4,614,263-7,315,295-23,071,315-59,985,419-299,927,095

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