Q: What are the factor combinations of the number 42,672,305?

 A:
Positive:   1 x 426723055 x 853446113 x 328248565 x 656497139 x 306995695 x 613991807 x 236154723 x 9035
Negative: -1 x -42672305-5 x -8534461-13 x -3282485-65 x -656497-139 x -306995-695 x -61399-1807 x -23615-4723 x -9035


How do I find the factor combinations of the number 42,672,305?

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 42,672,305, 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 42,672,305
-1 -42,672,305

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 42,672,305.

Example:
1 x 42,672,305 = 42,672,305
and
-1 x -42,672,305 = 42,672,305
Notice both answers equal 42,672,305

With that explanation out of the way, let's continue. Next, we take the number 42,672,305 and divide it by 2:

42,672,305 ÷ 2 = 21,336,152.5

If the quotient is a whole number, then 2 and 21,336,152.5 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 42,672,305
-1 -42,672,305

Now, we try dividing 42,672,305 by 3:

42,672,305 ÷ 3 = 14,224,101.6667

If the quotient is a whole number, then 3 and 14,224,101.6667 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 42,672,305
-1 -42,672,305

Let's try dividing by 4:

42,672,305 ÷ 4 = 10,668,076.25

If the quotient is a whole number, then 4 and 10,668,076.25 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 42,672,305
-1 42,672,305
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651396951,8074,7239,03523,61561,399306,995656,4973,282,4858,534,46142,672,305
-1-5-13-65-139-695-1,807-4,723-9,035-23,615-61,399-306,995-656,497-3,282,485-8,534,461-42,672,305

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