Q: What are the factor combinations of the number 345,865,685?

 A:
Positive:   1 x 3458656855 x 6917313711 x 3144233555 x 62884671523 x 2270954129 x 837657615 x 4541916753 x 20645
Negative: -1 x -345865685-5 x -69173137-11 x -31442335-55 x -6288467-1523 x -227095-4129 x -83765-7615 x -45419-16753 x -20645


How do I find the factor combinations of the number 345,865,685?

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 345,865,685, 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.

1 345,865,685
-1 -345,865,685

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 345,865,685.

Example:
1 x 345,865,685 = 345,865,685
and
-1 x -345,865,685 = 345,865,685
Notice both answers equal 345,865,685

With that explanation out of the way, let's continue. Next, we take the number 345,865,685 and divide it by 2:

345,865,685 ÷ 2 = 172,932,842.5

If the quotient is a whole number, then 2 and 172,932,842.5 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:

1 345,865,685
-1 -345,865,685

Now, we try dividing 345,865,685 by 3:

345,865,685 ÷ 3 = 115,288,561.6667

If the quotient is a whole number, then 3 and 115,288,561.6667 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:

1 345,865,685
-1 -345,865,685

Let's try dividing by 4:

345,865,685 ÷ 4 = 86,466,421.25

If the quotient is a whole number, then 4 and 86,466,421.25 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:

1 345,865,685
-1 345,865,685
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551,5234,1297,61516,75320,64545,41983,765227,0956,288,46731,442,33569,173,137345,865,685
-1-5-11-55-1,523-4,129-7,615-16,753-20,645-45,419-83,765-227,095-6,288,467-31,442,335-69,173,137-345,865,685

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 345,865,685:


Ask a Question