Q: What are the factor combinations of the number 60,456,097?

 A:
Positive:   1 x 6045609713 x 465046917 x 355624129 x 2084693221 x 273557377 x 160361493 x 1226296409 x 9433
Negative: -1 x -60456097-13 x -4650469-17 x -3556241-29 x -2084693-221 x -273557-377 x -160361-493 x -122629-6409 x -9433


How do I find the factor combinations of the number 60,456,097?

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 60,456,097, 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 60,456,097
-1 -60,456,097

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 60,456,097.

Example:
1 x 60,456,097 = 60,456,097
and
-1 x -60,456,097 = 60,456,097
Notice both answers equal 60,456,097

With that explanation out of the way, let's continue. Next, we take the number 60,456,097 and divide it by 2:

60,456,097 ÷ 2 = 30,228,048.5

If the quotient is a whole number, then 2 and 30,228,048.5 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 60,456,097
-1 -60,456,097

Now, we try dividing 60,456,097 by 3:

60,456,097 ÷ 3 = 20,152,032.3333

If the quotient is a whole number, then 3 and 20,152,032.3333 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 60,456,097
-1 -60,456,097

Let's try dividing by 4:

60,456,097 ÷ 4 = 15,114,024.25

If the quotient is a whole number, then 4 and 15,114,024.25 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 60,456,097
-1 60,456,097
Keep dividing by the next highest number until you cannot divide anymore.

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

11317292213774936,4099,433122,629160,361273,5572,084,6933,556,2414,650,46960,456,097
-1-13-17-29-221-377-493-6,409-9,433-122,629-160,361-273,557-2,084,693-3,556,241-4,650,469-60,456,097

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