Q: What are the factor combinations of the number 62,120,215?

 A:
Positive:   1 x 621202155 x 1242404319 x 326948559 x 105288595 x 653897295 x 2105771121 x 554155605 x 11083
Negative: -1 x -62120215-5 x -12424043-19 x -3269485-59 x -1052885-95 x -653897-295 x -210577-1121 x -55415-5605 x -11083


How do I find the factor combinations of the number 62,120,215?

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 62,120,215, 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 62,120,215
-1 -62,120,215

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 62,120,215.

Example:
1 x 62,120,215 = 62,120,215
and
-1 x -62,120,215 = 62,120,215
Notice both answers equal 62,120,215

With that explanation out of the way, let's continue. Next, we take the number 62,120,215 and divide it by 2:

62,120,215 ÷ 2 = 31,060,107.5

If the quotient is a whole number, then 2 and 31,060,107.5 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 62,120,215
-1 -62,120,215

Now, we try dividing 62,120,215 by 3:

62,120,215 ÷ 3 = 20,706,738.3333

If the quotient is a whole number, then 3 and 20,706,738.3333 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 62,120,215
-1 -62,120,215

Let's try dividing by 4:

62,120,215 ÷ 4 = 15,530,053.75

If the quotient is a whole number, then 4 and 15,530,053.75 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 62,120,215
-1 62,120,215
Keep dividing by the next highest number until you cannot divide anymore.

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

151959952951,1215,60511,08355,415210,577653,8971,052,8853,269,48512,424,04362,120,215
-1-5-19-59-95-295-1,121-5,605-11,083-55,415-210,577-653,897-1,052,885-3,269,485-12,424,043-62,120,215

More Examples

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