Q: What are the factor combinations of the number 60,628,765?

 A:
Positive:   1 x 606287655 x 12125753131 x 462815151 x 401515613 x 98905655 x 92563755 x 803033065 x 19781
Negative: -1 x -60628765-5 x -12125753-131 x -462815-151 x -401515-613 x -98905-655 x -92563-755 x -80303-3065 x -19781


How do I find the factor combinations of the number 60,628,765?

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 60,628,765, 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 60,628,765
-1 -60,628,765

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 60,628,765.

Example:
1 x 60,628,765 = 60,628,765
and
-1 x -60,628,765 = 60,628,765
Notice both answers equal 60,628,765

With that explanation out of the way, let's continue. Next, we take the number 60,628,765 and divide it by 2:

60,628,765 ÷ 2 = 30,314,382.5

If the quotient is a whole number, then 2 and 30,314,382.5 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 60,628,765
-1 -60,628,765

Now, we try dividing 60,628,765 by 3:

60,628,765 ÷ 3 = 20,209,588.3333

If the quotient is a whole number, then 3 and 20,209,588.3333 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 60,628,765
-1 -60,628,765

Let's try dividing by 4:

60,628,765 ÷ 4 = 15,157,191.25

If the quotient is a whole number, then 4 and 15,157,191.25 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 60,628,765
-1 60,628,765
Keep dividing by the next highest number until you cannot divide anymore.

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

151311516136557553,06519,78180,30392,56398,905401,515462,81512,125,75360,628,765
-1-5-131-151-613-655-755-3,065-19,781-80,303-92,563-98,905-401,515-462,815-12,125,753-60,628,765

More Examples

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