Q: What are the factor combinations of the number 155,301,545?

 A:
Positive:   1 x 1553015455 x 310603097 x 2218593517 x 913538535 x 443718785 x 1827077119 x 1305055595 x 261011
Negative: -1 x -155301545-5 x -31060309-7 x -22185935-17 x -9135385-35 x -4437187-85 x -1827077-119 x -1305055-595 x -261011


How do I find the factor combinations of the number 155,301,545?

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 155,301,545, 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.

1 155,301,545
-1 -155,301,545

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 155,301,545.

Example:
1 x 155,301,545 = 155,301,545
and
-1 x -155,301,545 = 155,301,545
Notice both answers equal 155,301,545

With that explanation out of the way, let's continue. Next, we take the number 155,301,545 and divide it by 2:

155,301,545 ÷ 2 = 77,650,772.5

If the quotient is a whole number, then 2 and 77,650,772.5 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:

1 155,301,545
-1 -155,301,545

Now, we try dividing 155,301,545 by 3:

155,301,545 ÷ 3 = 51,767,181.6667

If the quotient is a whole number, then 3 and 51,767,181.6667 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:

1 155,301,545
-1 -155,301,545

Let's try dividing by 4:

155,301,545 ÷ 4 = 38,825,386.25

If the quotient is a whole number, then 4 and 38,825,386.25 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:

1 155,301,545
-1 155,301,545
Keep dividing by the next highest number until you cannot divide anymore.

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

157173585119595261,0111,305,0551,827,0774,437,1879,135,38522,185,93531,060,309155,301,545
-1-5-7-17-35-85-119-595-261,011-1,305,055-1,827,077-4,437,187-9,135,385-22,185,935-31,060,309-155,301,545

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 155,301,545:


Ask a Question