Q: What are the factor combinations of the number 60,144,335?

 A:
Positive:   1 x 601443355 x 1202886741 x 146693573 x 823895205 x 293387365 x 1647792993 x 200954019 x 14965
Negative: -1 x -60144335-5 x -12028867-41 x -1466935-73 x -823895-205 x -293387-365 x -164779-2993 x -20095-4019 x -14965


How do I find the factor combinations of the number 60,144,335?

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 60,144,335, 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 60,144,335
-1 -60,144,335

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 60,144,335.

Example:
1 x 60,144,335 = 60,144,335
and
-1 x -60,144,335 = 60,144,335
Notice both answers equal 60,144,335

With that explanation out of the way, let's continue. Next, we take the number 60,144,335 and divide it by 2:

60,144,335 ÷ 2 = 30,072,167.5

If the quotient is a whole number, then 2 and 30,072,167.5 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 60,144,335
-1 -60,144,335

Now, we try dividing 60,144,335 by 3:

60,144,335 ÷ 3 = 20,048,111.6667

If the quotient is a whole number, then 3 and 20,048,111.6667 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 60,144,335
-1 -60,144,335

Let's try dividing by 4:

60,144,335 ÷ 4 = 15,036,083.75

If the quotient is a whole number, then 4 and 15,036,083.75 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 60,144,335
-1 60,144,335
Keep dividing by the next highest number until you cannot divide anymore.

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

1541732053652,9934,01914,96520,095164,779293,387823,8951,466,93512,028,86760,144,335
-1-5-41-73-205-365-2,993-4,019-14,965-20,095-164,779-293,387-823,895-1,466,935-12,028,867-60,144,335

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