Q: What are the factor combinations of the number 337,455,701?

 A:
Positive:   1 x 33745570111 x 3067779123 x 1467198743 x 7847807253 x 1333817473 x 713437989 x 34120910879 x 31019
Negative: -1 x -337455701-11 x -30677791-23 x -14671987-43 x -7847807-253 x -1333817-473 x -713437-989 x -341209-10879 x -31019


How do I find the factor combinations of the number 337,455,701?

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 337,455,701, 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.

1 337,455,701
-1 -337,455,701

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 337,455,701.

Example:
1 x 337,455,701 = 337,455,701
and
-1 x -337,455,701 = 337,455,701
Notice both answers equal 337,455,701

With that explanation out of the way, let's continue. Next, we take the number 337,455,701 and divide it by 2:

337,455,701 ÷ 2 = 168,727,850.5

If the quotient is a whole number, then 2 and 168,727,850.5 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:

1 337,455,701
-1 -337,455,701

Now, we try dividing 337,455,701 by 3:

337,455,701 ÷ 3 = 112,485,233.6667

If the quotient is a whole number, then 3 and 112,485,233.6667 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:

1 337,455,701
-1 -337,455,701

Let's try dividing by 4:

337,455,701 ÷ 4 = 84,363,925.25

If the quotient is a whole number, then 4 and 84,363,925.25 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:

1 337,455,701
-1 337,455,701
Keep dividing by the next highest number until you cannot divide anymore.

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

111234325347398910,87931,019341,209713,4371,333,8177,847,80714,671,98730,677,791337,455,701
-1-11-23-43-253-473-989-10,879-31,019-341,209-713,437-1,333,817-7,847,807-14,671,987-30,677,791-337,455,701

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