Q: What are the factor combinations of the number 62,344,627?

 A:
Positive:   1 x 6234462717 x 366733131 x 2011117281 x 221867421 x 148087527 x 1183014777 x 130517157 x 8711
Negative: -1 x -62344627-17 x -3667331-31 x -2011117-281 x -221867-421 x -148087-527 x -118301-4777 x -13051-7157 x -8711


How do I find the factor combinations of the number 62,344,627?

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 62,344,627, 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 62,344,627
-1 -62,344,627

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 62,344,627.

Example:
1 x 62,344,627 = 62,344,627
and
-1 x -62,344,627 = 62,344,627
Notice both answers equal 62,344,627

With that explanation out of the way, let's continue. Next, we take the number 62,344,627 and divide it by 2:

62,344,627 ÷ 2 = 31,172,313.5

If the quotient is a whole number, then 2 and 31,172,313.5 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 62,344,627
-1 -62,344,627

Now, we try dividing 62,344,627 by 3:

62,344,627 ÷ 3 = 20,781,542.3333

If the quotient is a whole number, then 3 and 20,781,542.3333 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 62,344,627
-1 -62,344,627

Let's try dividing by 4:

62,344,627 ÷ 4 = 15,586,156.75

If the quotient is a whole number, then 4 and 15,586,156.75 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 62,344,627
-1 62,344,627
Keep dividing by the next highest number until you cannot divide anymore.

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

117312814215274,7777,1578,71113,051118,301148,087221,8672,011,1173,667,33162,344,627
-1-17-31-281-421-527-4,777-7,157-8,711-13,051-118,301-148,087-221,867-2,011,117-3,667,331-62,344,627

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