Q: What are the factor combinations of the number 60,906,131?

 A:
Positive:   1 x 6090613111 x 553692113 x 4685087101 x 603031143 x 4259171111 x 548211313 x 463874217 x 14443
Negative: -1 x -60906131-11 x -5536921-13 x -4685087-101 x -603031-143 x -425917-1111 x -54821-1313 x -46387-4217 x -14443


How do I find the factor combinations of the number 60,906,131?

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 60,906,131, 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 60,906,131
-1 -60,906,131

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 60,906,131.

Example:
1 x 60,906,131 = 60,906,131
and
-1 x -60,906,131 = 60,906,131
Notice both answers equal 60,906,131

With that explanation out of the way, let's continue. Next, we take the number 60,906,131 and divide it by 2:

60,906,131 ÷ 2 = 30,453,065.5

If the quotient is a whole number, then 2 and 30,453,065.5 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 60,906,131
-1 -60,906,131

Now, we try dividing 60,906,131 by 3:

60,906,131 ÷ 3 = 20,302,043.6667

If the quotient is a whole number, then 3 and 20,302,043.6667 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 60,906,131
-1 -60,906,131

Let's try dividing by 4:

60,906,131 ÷ 4 = 15,226,532.75

If the quotient is a whole number, then 4 and 15,226,532.75 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 60,906,131
-1 60,906,131
Keep dividing by the next highest number until you cannot divide anymore.

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

111131011431,1111,3134,21714,44346,38754,821425,917603,0314,685,0875,536,92160,906,131
-1-11-13-101-143-1,111-1,313-4,217-14,443-46,387-54,821-425,917-603,031-4,685,087-5,536,921-60,906,131

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