Q: What are the factor combinations of the number 60,060,605?

 A:
Positive:   1 x 600606055 x 1201212111 x 546005555 x 1092011293 x 2049851465 x 409973223 x 186353727 x 16115
Negative: -1 x -60060605-5 x -12012121-11 x -5460055-55 x -1092011-293 x -204985-1465 x -40997-3223 x -18635-3727 x -16115


How do I find the factor combinations of the number 60,060,605?

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 60,060,605, 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 60,060,605
-1 -60,060,605

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 60,060,605.

Example:
1 x 60,060,605 = 60,060,605
and
-1 x -60,060,605 = 60,060,605
Notice both answers equal 60,060,605

With that explanation out of the way, let's continue. Next, we take the number 60,060,605 and divide it by 2:

60,060,605 ÷ 2 = 30,030,302.5

If the quotient is a whole number, then 2 and 30,030,302.5 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 60,060,605
-1 -60,060,605

Now, we try dividing 60,060,605 by 3:

60,060,605 ÷ 3 = 20,020,201.6667

If the quotient is a whole number, then 3 and 20,020,201.6667 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 60,060,605
-1 -60,060,605

Let's try dividing by 4:

60,060,605 ÷ 4 = 15,015,151.25

If the quotient is a whole number, then 4 and 15,015,151.25 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 60,060,605
-1 60,060,605
Keep dividing by the next highest number until you cannot divide anymore.

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

1511552931,4653,2233,72716,11518,63540,997204,9851,092,0115,460,05512,012,12160,060,605
-1-5-11-55-293-1,465-3,223-3,727-16,115-18,635-40,997-204,985-1,092,011-5,460,055-12,012,121-60,060,605

More Examples

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