Q: What are the factor combinations of the number 345,337,765?

 A:
Positive:   1 x 3453377655 x 6906755367 x 5154295127 x 2719195335 x 1030859635 x 5438398117 x 425458509 x 40585
Negative: -1 x -345337765-5 x -69067553-67 x -5154295-127 x -2719195-335 x -1030859-635 x -543839-8117 x -42545-8509 x -40585


How do I find the factor combinations of the number 345,337,765?

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 345,337,765, 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.

1 345,337,765
-1 -345,337,765

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 345,337,765.

Example:
1 x 345,337,765 = 345,337,765
and
-1 x -345,337,765 = 345,337,765
Notice both answers equal 345,337,765

With that explanation out of the way, let's continue. Next, we take the number 345,337,765 and divide it by 2:

345,337,765 ÷ 2 = 172,668,882.5

If the quotient is a whole number, then 2 and 172,668,882.5 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:

1 345,337,765
-1 -345,337,765

Now, we try dividing 345,337,765 by 3:

345,337,765 ÷ 3 = 115,112,588.3333

If the quotient is a whole number, then 3 and 115,112,588.3333 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:

1 345,337,765
-1 -345,337,765

Let's try dividing by 4:

345,337,765 ÷ 4 = 86,334,441.25

If the quotient is a whole number, then 4 and 86,334,441.25 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:

1 345,337,765
-1 345,337,765
Keep dividing by the next highest number until you cannot divide anymore.

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

15671273356358,1178,50940,58542,545543,8391,030,8592,719,1955,154,29569,067,553345,337,765
-1-5-67-127-335-635-8,117-8,509-40,585-42,545-543,839-1,030,859-2,719,195-5,154,295-69,067,553-345,337,765

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