Q: What are the factor combinations of the number 62,002,465?

 A:
Positive:   1 x 620024655 x 124004937 x 885749535 x 1771499233 x 2661051165 x 532211631 x 380157603 x 8155
Negative: -1 x -62002465-5 x -12400493-7 x -8857495-35 x -1771499-233 x -266105-1165 x -53221-1631 x -38015-7603 x -8155


How do I find the factor combinations of the number 62,002,465?

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 62,002,465, 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 62,002,465
-1 -62,002,465

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 62,002,465.

Example:
1 x 62,002,465 = 62,002,465
and
-1 x -62,002,465 = 62,002,465
Notice both answers equal 62,002,465

With that explanation out of the way, let's continue. Next, we take the number 62,002,465 and divide it by 2:

62,002,465 ÷ 2 = 31,001,232.5

If the quotient is a whole number, then 2 and 31,001,232.5 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 62,002,465
-1 -62,002,465

Now, we try dividing 62,002,465 by 3:

62,002,465 ÷ 3 = 20,667,488.3333

If the quotient is a whole number, then 3 and 20,667,488.3333 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 62,002,465
-1 -62,002,465

Let's try dividing by 4:

62,002,465 ÷ 4 = 15,500,616.25

If the quotient is a whole number, then 4 and 15,500,616.25 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 62,002,465
-1 62,002,465
Keep dividing by the next highest number until you cannot divide anymore.

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

157352331,1651,6317,6038,15538,01553,221266,1051,771,4998,857,49512,400,49362,002,465
-1-5-7-35-233-1,165-1,631-7,603-8,155-38,015-53,221-266,105-1,771,499-8,857,495-12,400,493-62,002,465

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