Q: What are the factor combinations of the number 351,002,113?

 A:
Positive:   1 x 3510021137 x 5014315911 x 3190928361 x 575413377 x 4558469427 x 822019671 x 5231034697 x 74729
Negative: -1 x -351002113-7 x -50143159-11 x -31909283-61 x -5754133-77 x -4558469-427 x -822019-671 x -523103-4697 x -74729


How do I find the factor combinations of the number 351,002,113?

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 351,002,113, 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.

1 351,002,113
-1 -351,002,113

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 351,002,113.

Example:
1 x 351,002,113 = 351,002,113
and
-1 x -351,002,113 = 351,002,113
Notice both answers equal 351,002,113

With that explanation out of the way, let's continue. Next, we take the number 351,002,113 and divide it by 2:

351,002,113 ÷ 2 = 175,501,056.5

If the quotient is a whole number, then 2 and 175,501,056.5 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:

1 351,002,113
-1 -351,002,113

Now, we try dividing 351,002,113 by 3:

351,002,113 ÷ 3 = 117,000,704.3333

If the quotient is a whole number, then 3 and 117,000,704.3333 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:

1 351,002,113
-1 -351,002,113

Let's try dividing by 4:

351,002,113 ÷ 4 = 87,750,528.25

If the quotient is a whole number, then 4 and 87,750,528.25 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:

1 351,002,113
-1 351,002,113
Keep dividing by the next highest number until you cannot divide anymore.

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

171161774276714,69774,729523,103822,0194,558,4695,754,13331,909,28350,143,159351,002,113
-1-7-11-61-77-427-671-4,697-74,729-523,103-822,019-4,558,469-5,754,133-31,909,283-50,143,159-351,002,113

More Examples

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