Q: What are the factor combinations of the number 153,377,329?

 A:
Positive:   1 x 1533773297 x 2191104719 x 8072491133 x 1153213383 x 4004632681 x 572093011 x 509397277 x 21077
Negative: -1 x -153377329-7 x -21911047-19 x -8072491-133 x -1153213-383 x -400463-2681 x -57209-3011 x -50939-7277 x -21077


How do I find the factor combinations of the number 153,377,329?

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 153,377,329, 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.

1 153,377,329
-1 -153,377,329

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 153,377,329.

Example:
1 x 153,377,329 = 153,377,329
and
-1 x -153,377,329 = 153,377,329
Notice both answers equal 153,377,329

With that explanation out of the way, let's continue. Next, we take the number 153,377,329 and divide it by 2:

153,377,329 ÷ 2 = 76,688,664.5

If the quotient is a whole number, then 2 and 76,688,664.5 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:

1 153,377,329
-1 -153,377,329

Now, we try dividing 153,377,329 by 3:

153,377,329 ÷ 3 = 51,125,776.3333

If the quotient is a whole number, then 3 and 51,125,776.3333 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:

1 153,377,329
-1 -153,377,329

Let's try dividing by 4:

153,377,329 ÷ 4 = 38,344,332.25

If the quotient is a whole number, then 4 and 38,344,332.25 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:

1 153,377,329
-1 153,377,329
Keep dividing by the next highest number until you cannot divide anymore.

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

17191333832,6813,0117,27721,07750,93957,209400,4631,153,2138,072,49121,911,047153,377,329
-1-7-19-133-383-2,681-3,011-7,277-21,077-50,939-57,209-400,463-1,153,213-8,072,491-21,911,047-153,377,329

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 153,377,329:


Ask a Question