Q: What are the factor combinations of the number 152,035,331?

 A:
Positive:   1 x 1520353317 x 2171933337 x 4109063259 x 587009281 x 5410511967 x 772932089 x 7277910397 x 14623
Negative: -1 x -152035331-7 x -21719333-37 x -4109063-259 x -587009-281 x -541051-1967 x -77293-2089 x -72779-10397 x -14623


How do I find the factor combinations of the number 152,035,331?

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 152,035,331, 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.

1 152,035,331
-1 -152,035,331

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 152,035,331.

Example:
1 x 152,035,331 = 152,035,331
and
-1 x -152,035,331 = 152,035,331
Notice both answers equal 152,035,331

With that explanation out of the way, let's continue. Next, we take the number 152,035,331 and divide it by 2:

152,035,331 ÷ 2 = 76,017,665.5

If the quotient is a whole number, then 2 and 76,017,665.5 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:

1 152,035,331
-1 -152,035,331

Now, we try dividing 152,035,331 by 3:

152,035,331 ÷ 3 = 50,678,443.6667

If the quotient is a whole number, then 3 and 50,678,443.6667 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:

1 152,035,331
-1 -152,035,331

Let's try dividing by 4:

152,035,331 ÷ 4 = 38,008,832.75

If the quotient is a whole number, then 4 and 38,008,832.75 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:

1 152,035,331
-1 152,035,331
Keep dividing by the next highest number until you cannot divide anymore.

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

17372592811,9672,08910,39714,62372,77977,293541,051587,0094,109,06321,719,333152,035,331
-1-7-37-259-281-1,967-2,089-10,397-14,623-72,779-77,293-541,051-587,009-4,109,063-21,719,333-152,035,331

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 152,035,331:


Ask a Question