Q: What are the factor combinations of the number 150,436,475?

 A:
Positive:   1 x 1504364755 x 300872957 x 2149092525 x 601745935 x 4298185173 x 869575175 x 859637865 x 1739151211 x 1242254325 x 347834969 x 302756055 x 24845
Negative: -1 x -150436475-5 x -30087295-7 x -21490925-25 x -6017459-35 x -4298185-173 x -869575-175 x -859637-865 x -173915-1211 x -124225-4325 x -34783-4969 x -30275-6055 x -24845


How do I find the factor combinations of the number 150,436,475?

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 150,436,475, 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.

1 150,436,475
-1 -150,436,475

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 150,436,475.

Example:
1 x 150,436,475 = 150,436,475
and
-1 x -150,436,475 = 150,436,475
Notice both answers equal 150,436,475

With that explanation out of the way, let's continue. Next, we take the number 150,436,475 and divide it by 2:

150,436,475 ÷ 2 = 75,218,237.5

If the quotient is a whole number, then 2 and 75,218,237.5 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:

1 150,436,475
-1 -150,436,475

Now, we try dividing 150,436,475 by 3:

150,436,475 ÷ 3 = 50,145,491.6667

If the quotient is a whole number, then 3 and 50,145,491.6667 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:

1 150,436,475
-1 -150,436,475

Let's try dividing by 4:

150,436,475 ÷ 4 = 37,609,118.75

If the quotient is a whole number, then 4 and 37,609,118.75 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:

1 150,436,475
-1 150,436,475
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351731758651,2114,3254,9696,05524,84530,27534,783124,225173,915859,637869,5754,298,1856,017,45921,490,92530,087,295150,436,475
-1-5-7-25-35-173-175-865-1,211-4,325-4,969-6,055-24,845-30,275-34,783-124,225-173,915-859,637-869,575-4,298,185-6,017,459-21,490,925-30,087,295-150,436,475

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 150,436,475:


Ask a Question