Q: What are the factor combinations of the number 313,364,765?

 A:
Positive:   1 x 3133647655 x 626729537 x 4476639523 x 1362455535 x 8953279115 x 2724911161 x 1946365805 x 389273
Negative: -1 x -313364765-5 x -62672953-7 x -44766395-23 x -13624555-35 x -8953279-115 x -2724911-161 x -1946365-805 x -389273


How do I find the factor combinations of the number 313,364,765?

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 313,364,765, 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.

1 313,364,765
-1 -313,364,765

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 313,364,765.

Example:
1 x 313,364,765 = 313,364,765
and
-1 x -313,364,765 = 313,364,765
Notice both answers equal 313,364,765

With that explanation out of the way, let's continue. Next, we take the number 313,364,765 and divide it by 2:

313,364,765 ÷ 2 = 156,682,382.5

If the quotient is a whole number, then 2 and 156,682,382.5 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:

1 313,364,765
-1 -313,364,765

Now, we try dividing 313,364,765 by 3:

313,364,765 ÷ 3 = 104,454,921.6667

If the quotient is a whole number, then 3 and 104,454,921.6667 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:

1 313,364,765
-1 -313,364,765

Let's try dividing by 4:

313,364,765 ÷ 4 = 78,341,191.25

If the quotient is a whole number, then 4 and 78,341,191.25 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:

1 313,364,765
-1 313,364,765
Keep dividing by the next highest number until you cannot divide anymore.

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

1572335115161805389,2731,946,3652,724,9118,953,27913,624,55544,766,39562,672,953313,364,765
-1-5-7-23-35-115-161-805-389,273-1,946,365-2,724,911-8,953,279-13,624,555-44,766,395-62,672,953-313,364,765

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 313,364,765:


Ask a Question