Q: What are the factor combinations of the number 60,034,247?

 A:
Positive:   1 x 600342477 x 857632113 x 461801991 x 659717409 x 1467831613 x 372192863 x 209695317 x 11291
Negative: -1 x -60034247-7 x -8576321-13 x -4618019-91 x -659717-409 x -146783-1613 x -37219-2863 x -20969-5317 x -11291


How do I find the factor combinations of the number 60,034,247?

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 60,034,247, 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 60,034,247
-1 -60,034,247

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 60,034,247.

Example:
1 x 60,034,247 = 60,034,247
and
-1 x -60,034,247 = 60,034,247
Notice both answers equal 60,034,247

With that explanation out of the way, let's continue. Next, we take the number 60,034,247 and divide it by 2:

60,034,247 ÷ 2 = 30,017,123.5

If the quotient is a whole number, then 2 and 30,017,123.5 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 60,034,247
-1 -60,034,247

Now, we try dividing 60,034,247 by 3:

60,034,247 ÷ 3 = 20,011,415.6667

If the quotient is a whole number, then 3 and 20,011,415.6667 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 60,034,247
-1 -60,034,247

Let's try dividing by 4:

60,034,247 ÷ 4 = 15,008,561.75

If the quotient is a whole number, then 4 and 15,008,561.75 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 60,034,247
-1 60,034,247
Keep dividing by the next highest number until you cannot divide anymore.

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

1713914091,6132,8635,31711,29120,96937,219146,783659,7174,618,0198,576,32160,034,247
-1-7-13-91-409-1,613-2,863-5,317-11,291-20,969-37,219-146,783-659,717-4,618,019-8,576,321-60,034,247

More Examples

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