Q: What are the factor combinations of the number 30,167,123?

 A:
Positive:   1 x 301671237 x 430958931 x 97313343 x 70156153 x 56919161 x 494543217 x 139019301 x 100223371 x 81313427 x 706491333 x 226311643 x 183611891 x 159532279 x 132372623 x 115013233 x 9331
Negative: -1 x -30167123-7 x -4309589-31 x -973133-43 x -701561-53 x -569191-61 x -494543-217 x -139019-301 x -100223-371 x -81313-427 x -70649-1333 x -22631-1643 x -18361-1891 x -15953-2279 x -13237-2623 x -11501-3233 x -9331


How do I find the factor combinations of the number 30,167,123?

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 30,167,123, 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 30,167,123
-1 -30,167,123

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 30,167,123.

Example:
1 x 30,167,123 = 30,167,123
and
-1 x -30,167,123 = 30,167,123
Notice both answers equal 30,167,123

With that explanation out of the way, let's continue. Next, we take the number 30,167,123 and divide it by 2:

30,167,123 ÷ 2 = 15,083,561.5

If the quotient is a whole number, then 2 and 15,083,561.5 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 30,167,123
-1 -30,167,123

Now, we try dividing 30,167,123 by 3:

30,167,123 ÷ 3 = 10,055,707.6667

If the quotient is a whole number, then 3 and 10,055,707.6667 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 30,167,123
-1 -30,167,123

Let's try dividing by 4:

30,167,123 ÷ 4 = 7,541,780.75

If the quotient is a whole number, then 4 and 7,541,780.75 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 30,167,123
-1 30,167,123
Keep dividing by the next highest number until you cannot divide anymore.

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

17314353612173013714271,3331,6431,8912,2792,6233,2339,33111,50113,23715,95318,36122,63170,64981,313100,223139,019494,543569,191701,561973,1334,309,58930,167,123
-1-7-31-43-53-61-217-301-371-427-1,333-1,643-1,891-2,279-2,623-3,233-9,331-11,501-13,237-15,953-18,361-22,631-70,649-81,313-100,223-139,019-494,543-569,191-701,561-973,133-4,309,589-30,167,123

More Examples

Here are some more numbers to try:

30,167,12130,167,12230,167,12430,167,125
Try the factor calculator

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