Q: What are the factor combinations of the number 210,321,155?

 A:
Positive:   1 x 2103211555 x 4206423111 x 1912010555 x 3824021131 x 1605505655 x 3211011441 x 1459557205 x 29191
Negative: -1 x -210321155-5 x -42064231-11 x -19120105-55 x -3824021-131 x -1605505-655 x -321101-1441 x -145955-7205 x -29191


How do I find the factor combinations of the number 210,321,155?

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 210,321,155, 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.

1 210,321,155
-1 -210,321,155

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 210,321,155.

Example:
1 x 210,321,155 = 210,321,155
and
-1 x -210,321,155 = 210,321,155
Notice both answers equal 210,321,155

With that explanation out of the way, let's continue. Next, we take the number 210,321,155 and divide it by 2:

210,321,155 ÷ 2 = 105,160,577.5

If the quotient is a whole number, then 2 and 105,160,577.5 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:

1 210,321,155
-1 -210,321,155

Now, we try dividing 210,321,155 by 3:

210,321,155 ÷ 3 = 70,107,051.6667

If the quotient is a whole number, then 3 and 70,107,051.6667 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:

1 210,321,155
-1 -210,321,155

Let's try dividing by 4:

210,321,155 ÷ 4 = 52,580,288.75

If the quotient is a whole number, then 4 and 52,580,288.75 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:

1 210,321,155
-1 210,321,155
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551316551,4417,20529,191145,955321,1011,605,5053,824,02119,120,10542,064,231210,321,155
-1-5-11-55-131-655-1,441-7,205-29,191-145,955-321,101-1,605,505-3,824,021-19,120,105-42,064,231-210,321,155

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 210,321,155:


Ask a Question