Q: What are the factor combinations of the number 150,350,347?

 A:
Positive:   1 x 1503503477 x 2147862153 x 2836799127 x 1183861371 x 405257889 x 1691233191 x 471176731 x 22337
Negative: -1 x -150350347-7 x -21478621-53 x -2836799-127 x -1183861-371 x -405257-889 x -169123-3191 x -47117-6731 x -22337


How do I find the factor combinations of the number 150,350,347?

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 150,350,347, 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.

1 150,350,347
-1 -150,350,347

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 150,350,347.

Example:
1 x 150,350,347 = 150,350,347
and
-1 x -150,350,347 = 150,350,347
Notice both answers equal 150,350,347

With that explanation out of the way, let's continue. Next, we take the number 150,350,347 and divide it by 2:

150,350,347 ÷ 2 = 75,175,173.5

If the quotient is a whole number, then 2 and 75,175,173.5 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:

1 150,350,347
-1 -150,350,347

Now, we try dividing 150,350,347 by 3:

150,350,347 ÷ 3 = 50,116,782.3333

If the quotient is a whole number, then 3 and 50,116,782.3333 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:

1 150,350,347
-1 -150,350,347

Let's try dividing by 4:

150,350,347 ÷ 4 = 37,587,586.75

If the quotient is a whole number, then 4 and 37,587,586.75 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:

1 150,350,347
-1 150,350,347
Keep dividing by the next highest number until you cannot divide anymore.

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

17531273718893,1916,73122,33747,117169,123405,2571,183,8612,836,79921,478,621150,350,347
-1-7-53-127-371-889-3,191-6,731-22,337-47,117-169,123-405,257-1,183,861-2,836,799-21,478,621-150,350,347

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 150,350,347:


Ask a Question