Q: What are the factor combinations of the number 350,151,529?

 A:
Positive:   1 x 3501515297 x 5002164713 x 2693473361 x 574018991 x 3847819427 x 820027793 x 4415535551 x 63079
Negative: -1 x -350151529-7 x -50021647-13 x -26934733-61 x -5740189-91 x -3847819-427 x -820027-793 x -441553-5551 x -63079


How do I find the factor combinations of the number 350,151,529?

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 350,151,529, 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.

1 350,151,529
-1 -350,151,529

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 350,151,529.

Example:
1 x 350,151,529 = 350,151,529
and
-1 x -350,151,529 = 350,151,529
Notice both answers equal 350,151,529

With that explanation out of the way, let's continue. Next, we take the number 350,151,529 and divide it by 2:

350,151,529 ÷ 2 = 175,075,764.5

If the quotient is a whole number, then 2 and 175,075,764.5 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:

1 350,151,529
-1 -350,151,529

Now, we try dividing 350,151,529 by 3:

350,151,529 ÷ 3 = 116,717,176.3333

If the quotient is a whole number, then 3 and 116,717,176.3333 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:

1 350,151,529
-1 -350,151,529

Let's try dividing by 4:

350,151,529 ÷ 4 = 87,537,882.25

If the quotient is a whole number, then 4 and 87,537,882.25 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:

1 350,151,529
-1 350,151,529
Keep dividing by the next highest number until you cannot divide anymore.

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

171361914277935,55163,079441,553820,0273,847,8195,740,18926,934,73350,021,647350,151,529
-1-7-13-61-91-427-793-5,551-63,079-441,553-820,027-3,847,819-5,740,189-26,934,733-50,021,647-350,151,529

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