Q: What are the factor combinations of the number 345,531,545?

 A:
Positive:   1 x 3455315455 x 6910630917 x 2032538547 x 735173585 x 4065077235 x 1470347799 x 4324553995 x 86491
Negative: -1 x -345531545-5 x -69106309-17 x -20325385-47 x -7351735-85 x -4065077-235 x -1470347-799 x -432455-3995 x -86491


How do I find the factor combinations of the number 345,531,545?

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 345,531,545, 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.

1 345,531,545
-1 -345,531,545

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 345,531,545.

Example:
1 x 345,531,545 = 345,531,545
and
-1 x -345,531,545 = 345,531,545
Notice both answers equal 345,531,545

With that explanation out of the way, let's continue. Next, we take the number 345,531,545 and divide it by 2:

345,531,545 ÷ 2 = 172,765,772.5

If the quotient is a whole number, then 2 and 172,765,772.5 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:

1 345,531,545
-1 -345,531,545

Now, we try dividing 345,531,545 by 3:

345,531,545 ÷ 3 = 115,177,181.6667

If the quotient is a whole number, then 3 and 115,177,181.6667 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:

1 345,531,545
-1 -345,531,545

Let's try dividing by 4:

345,531,545 ÷ 4 = 86,382,886.25

If the quotient is a whole number, then 4 and 86,382,886.25 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:

1 345,531,545
-1 345,531,545
Keep dividing by the next highest number until you cannot divide anymore.

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

151747852357993,99586,491432,4551,470,3474,065,0777,351,73520,325,38569,106,309345,531,545
-1-5-17-47-85-235-799-3,995-86,491-432,455-1,470,347-4,065,077-7,351,735-20,325,385-69,106,309-345,531,545

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 345,531,545:


Ask a Question