Q: What are the factor combinations of the number 350,345,741?

 A:
Positive:   1 x 35034574117 x 2060857353 x 661029789 x 3936469257 x 1363213289 x 1212269901 x 3888411513 x 2315574369 x 801894717 x 7427313621 x 2572115317 x 22873
Negative: -1 x -350345741-17 x -20608573-53 x -6610297-89 x -3936469-257 x -1363213-289 x -1212269-901 x -388841-1513 x -231557-4369 x -80189-4717 x -74273-13621 x -25721-15317 x -22873


How do I find the factor combinations of the number 350,345,741?

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 350,345,741, 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.

1 350,345,741
-1 -350,345,741

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 350,345,741.

Example:
1 x 350,345,741 = 350,345,741
and
-1 x -350,345,741 = 350,345,741
Notice both answers equal 350,345,741

With that explanation out of the way, let's continue. Next, we take the number 350,345,741 and divide it by 2:

350,345,741 ÷ 2 = 175,172,870.5

If the quotient is a whole number, then 2 and 175,172,870.5 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:

1 350,345,741
-1 -350,345,741

Now, we try dividing 350,345,741 by 3:

350,345,741 ÷ 3 = 116,781,913.6667

If the quotient is a whole number, then 3 and 116,781,913.6667 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:

1 350,345,741
-1 -350,345,741

Let's try dividing by 4:

350,345,741 ÷ 4 = 87,586,435.25

If the quotient is a whole number, then 4 and 87,586,435.25 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:

1 350,345,741
-1 350,345,741
Keep dividing by the next highest number until you cannot divide anymore.

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

11753892572899011,5134,3694,71713,62115,31722,87325,72174,27380,189231,557388,8411,212,2691,363,2133,936,4696,610,29720,608,573350,345,741
-1-17-53-89-257-289-901-1,513-4,369-4,717-13,621-15,317-22,873-25,721-74,273-80,189-231,557-388,841-1,212,269-1,363,213-3,936,469-6,610,297-20,608,573-350,345,741

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