Q: What are the factor combinations of the number 152,015,035?

 A:
Positive:   1 x 1520150355 x 304030074967 x 306056121 x 24835
Negative: -1 x -152015035-5 x -30403007-4967 x -30605-6121 x -24835


How do I find the factor combinations of the number 152,015,035?

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 152,015,035, 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.

1 152,015,035
-1 -152,015,035

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 152,015,035.

Example:
1 x 152,015,035 = 152,015,035
and
-1 x -152,015,035 = 152,015,035
Notice both answers equal 152,015,035

With that explanation out of the way, let's continue. Next, we take the number 152,015,035 and divide it by 2:

152,015,035 ÷ 2 = 76,007,517.5

If the quotient is a whole number, then 2 and 76,007,517.5 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:

1 152,015,035
-1 -152,015,035

Now, we try dividing 152,015,035 by 3:

152,015,035 ÷ 3 = 50,671,678.3333

If the quotient is a whole number, then 3 and 50,671,678.3333 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:

1 152,015,035
-1 -152,015,035

Let's try dividing by 4:

152,015,035 ÷ 4 = 38,003,758.75

If the quotient is a whole number, then 4 and 38,003,758.75 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:

1 152,015,035
-1 152,015,035
Keep dividing by the next highest number until you cannot divide anymore.

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

154,9676,12124,83530,60530,403,007152,015,035
-1-5-4,967-6,121-24,835-30,605-30,403,007-152,015,035

More Examples

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