Q: What are the factor combinations of the number 150,060?

 A:
Positive:   1 x 1500602 x 750303 x 500204 x 375155 x 300126 x 2501010 x 1500612 x 1250515 x 1000420 x 750330 x 500241 x 366060 x 250161 x 246082 x 1830122 x 1230123 x 1220164 x 915183 x 820205 x 732244 x 615246 x 610305 x 492366 x 410
Negative: -1 x -150060-2 x -75030-3 x -50020-4 x -37515-5 x -30012-6 x -25010-10 x -15006-12 x -12505-15 x -10004-20 x -7503-30 x -5002-41 x -3660-60 x -2501-61 x -2460-82 x -1830-122 x -1230-123 x -1220-164 x -915-183 x -820-205 x -732-244 x -615-246 x -610-305 x -492-366 x -410


How do I find the factor combinations of the number 150,060?

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 150,060, 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.

1 150,060
-1 -150,060

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 150,060.

Example:
1 x 150,060 = 150,060
and
-1 x -150,060 = 150,060
Notice both answers equal 150,060

With that explanation out of the way, let's continue. Next, we take the number 150,060 and divide it by 2:

150,060 ÷ 2 = 75,030

If the quotient is a whole number, then 2 and 75,030 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 75,030 150,060
-1 -2 -75,030 -150,060

Now, we try dividing 150,060 by 3:

150,060 ÷ 3 = 50,020

If the quotient is a whole number, then 3 and 50,020 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 50,020 75,030 150,060
-1 -2 -3 -50,020 -75,030 -150,060

Let's try dividing by 4:

150,060 ÷ 4 = 37,515

If the quotient is a whole number, then 4 and 37,515 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 37,515 50,020 75,030 150,060
-1 -2 -3 -4 -37,515 -50,020 -75,030 150,060
Keep dividing by the next highest number until you cannot divide anymore.

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

1234561012152030416061821221231641832052442463053664104926106157328209151,2201,2301,8302,4602,5013,6605,0027,50310,00412,50515,00625,01030,01237,51550,02075,030150,060
-1-2-3-4-5-6-10-12-15-20-30-41-60-61-82-122-123-164-183-205-244-246-305-366-410-492-610-615-732-820-915-1,220-1,230-1,830-2,460-2,501-3,660-5,002-7,503-10,004-12,505-15,006-25,010-30,012-37,515-50,020-75,030-150,060

More Examples

Here are some more numbers to try:

150,058150,059150,061150,062
Try the factor calculator

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