Q: What are the factor combinations of the number 420,176,005?

 A:
Positive:   1 x 4201760055 x 8403520143 x 977153547 x 8939915215 x 1954307235 x 1787983967 x 4345151849 x 2272452021 x 2079054835 x 869039245 x 4544910105 x 41581
Negative: -1 x -420176005-5 x -84035201-43 x -9771535-47 x -8939915-215 x -1954307-235 x -1787983-967 x -434515-1849 x -227245-2021 x -207905-4835 x -86903-9245 x -45449-10105 x -41581


How do I find the factor combinations of the number 420,176,005?

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 420,176,005, 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.

1 420,176,005
-1 -420,176,005

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 420,176,005.

Example:
1 x 420,176,005 = 420,176,005
and
-1 x -420,176,005 = 420,176,005
Notice both answers equal 420,176,005

With that explanation out of the way, let's continue. Next, we take the number 420,176,005 and divide it by 2:

420,176,005 ÷ 2 = 210,088,002.5

If the quotient is a whole number, then 2 and 210,088,002.5 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:

1 420,176,005
-1 -420,176,005

Now, we try dividing 420,176,005 by 3:

420,176,005 ÷ 3 = 140,058,668.3333

If the quotient is a whole number, then 3 and 140,058,668.3333 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:

1 420,176,005
-1 -420,176,005

Let's try dividing by 4:

420,176,005 ÷ 4 = 105,044,001.25

If the quotient is a whole number, then 4 and 105,044,001.25 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:

1 420,176,005
-1 420,176,005
Keep dividing by the next highest number until you cannot divide anymore.

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

1543472152359671,8492,0214,8359,24510,10541,58145,44986,903207,905227,245434,5151,787,9831,954,3078,939,9159,771,53584,035,201420,176,005
-1-5-43-47-215-235-967-1,849-2,021-4,835-9,245-10,105-41,581-45,449-86,903-207,905-227,245-434,515-1,787,983-1,954,307-8,939,915-9,771,535-84,035,201-420,176,005

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