Q: What are the factor combinations of the number 354,622,765?

 A:
Positive:   1 x 3546227655 x 709245537 x 5066039535 x 10132079523 x 6780552615 x 1356113661 x 9686518305 x 19373
Negative: -1 x -354622765-5 x -70924553-7 x -50660395-35 x -10132079-523 x -678055-2615 x -135611-3661 x -96865-18305 x -19373


How do I find the factor combinations of the number 354,622,765?

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 354,622,765, 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.

1 354,622,765
-1 -354,622,765

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 354,622,765.

Example:
1 x 354,622,765 = 354,622,765
and
-1 x -354,622,765 = 354,622,765
Notice both answers equal 354,622,765

With that explanation out of the way, let's continue. Next, we take the number 354,622,765 and divide it by 2:

354,622,765 ÷ 2 = 177,311,382.5

If the quotient is a whole number, then 2 and 177,311,382.5 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:

1 354,622,765
-1 -354,622,765

Now, we try dividing 354,622,765 by 3:

354,622,765 ÷ 3 = 118,207,588.3333

If the quotient is a whole number, then 3 and 118,207,588.3333 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:

1 354,622,765
-1 -354,622,765

Let's try dividing by 4:

354,622,765 ÷ 4 = 88,655,691.25

If the quotient is a whole number, then 4 and 88,655,691.25 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:

1 354,622,765
-1 354,622,765
Keep dividing by the next highest number until you cannot divide anymore.

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

157355232,6153,66118,30519,37396,865135,611678,05510,132,07950,660,39570,924,553354,622,765
-1-5-7-35-523-2,615-3,661-18,305-19,373-96,865-135,611-678,055-10,132,079-50,660,395-70,924,553-354,622,765

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