Q: What are the factor combinations of the number 136,011,145?

 A:
Positive:   1 x 1360111455 x 2720222941 x 3317345101 x 1346645205 x 663469505 x 2693294141 x 328456569 x 20705
Negative: -1 x -136011145-5 x -27202229-41 x -3317345-101 x -1346645-205 x -663469-505 x -269329-4141 x -32845-6569 x -20705


How do I find the factor combinations of the number 136,011,145?

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 136,011,145, 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.

1 136,011,145
-1 -136,011,145

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 136,011,145.

Example:
1 x 136,011,145 = 136,011,145
and
-1 x -136,011,145 = 136,011,145
Notice both answers equal 136,011,145

With that explanation out of the way, let's continue. Next, we take the number 136,011,145 and divide it by 2:

136,011,145 ÷ 2 = 68,005,572.5

If the quotient is a whole number, then 2 and 68,005,572.5 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:

1 136,011,145
-1 -136,011,145

Now, we try dividing 136,011,145 by 3:

136,011,145 ÷ 3 = 45,337,048.3333

If the quotient is a whole number, then 3 and 45,337,048.3333 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:

1 136,011,145
-1 -136,011,145

Let's try dividing by 4:

136,011,145 ÷ 4 = 34,002,786.25

If the quotient is a whole number, then 4 and 34,002,786.25 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:

1 136,011,145
-1 136,011,145
Keep dividing by the next highest number until you cannot divide anymore.

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

15411012055054,1416,56920,70532,845269,329663,4691,346,6453,317,34527,202,229136,011,145
-1-5-41-101-205-505-4,141-6,569-20,705-32,845-269,329-663,469-1,346,645-3,317,345-27,202,229-136,011,145

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 136,011,145:


Ask a Question