Q: What are the factor combinations of the number 151,162,165?

 A:
Positive:   1 x 1511621655 x 302324337 x 2159459511 x 1374201535 x 431891955 x 274840377 x 1963145385 x 392629
Negative: -1 x -151162165-5 x -30232433-7 x -21594595-11 x -13742015-35 x -4318919-55 x -2748403-77 x -1963145-385 x -392629


How do I find the factor combinations of the number 151,162,165?

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 151,162,165, 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.

1 151,162,165
-1 -151,162,165

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 151,162,165.

Example:
1 x 151,162,165 = 151,162,165
and
-1 x -151,162,165 = 151,162,165
Notice both answers equal 151,162,165

With that explanation out of the way, let's continue. Next, we take the number 151,162,165 and divide it by 2:

151,162,165 ÷ 2 = 75,581,082.5

If the quotient is a whole number, then 2 and 75,581,082.5 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:

1 151,162,165
-1 -151,162,165

Now, we try dividing 151,162,165 by 3:

151,162,165 ÷ 3 = 50,387,388.3333

If the quotient is a whole number, then 3 and 50,387,388.3333 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:

1 151,162,165
-1 -151,162,165

Let's try dividing by 4:

151,162,165 ÷ 4 = 37,790,541.25

If the quotient is a whole number, then 4 and 37,790,541.25 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:

1 151,162,165
-1 151,162,165
Keep dividing by the next highest number until you cannot divide anymore.

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

15711355577385392,6291,963,1452,748,4034,318,91913,742,01521,594,59530,232,433151,162,165
-1-5-7-11-35-55-77-385-392,629-1,963,145-2,748,403-4,318,919-13,742,015-21,594,595-30,232,433-151,162,165

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 151,162,165:


Ask a Question