Q: What are the factor combinations of the number 42,639,275?

 A:
Positive:   1 x 426392755 x 85278557 x 609132525 x 170557135 x 1218265167 x 255325175 x 243653835 x 510651169 x 364751459 x 292254175 x 102135845 x 7295
Negative: -1 x -42639275-5 x -8527855-7 x -6091325-25 x -1705571-35 x -1218265-167 x -255325-175 x -243653-835 x -51065-1169 x -36475-1459 x -29225-4175 x -10213-5845 x -7295


How do I find the factor combinations of the number 42,639,275?

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 42,639,275, 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 42,639,275
-1 -42,639,275

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 42,639,275.

Example:
1 x 42,639,275 = 42,639,275
and
-1 x -42,639,275 = 42,639,275
Notice both answers equal 42,639,275

With that explanation out of the way, let's continue. Next, we take the number 42,639,275 and divide it by 2:

42,639,275 ÷ 2 = 21,319,637.5

If the quotient is a whole number, then 2 and 21,319,637.5 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 42,639,275
-1 -42,639,275

Now, we try dividing 42,639,275 by 3:

42,639,275 ÷ 3 = 14,213,091.6667

If the quotient is a whole number, then 3 and 14,213,091.6667 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 42,639,275
-1 -42,639,275

Let's try dividing by 4:

42,639,275 ÷ 4 = 10,659,818.75

If the quotient is a whole number, then 4 and 10,659,818.75 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 42,639,275
-1 42,639,275
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351671758351,1691,4594,1755,8457,29510,21329,22536,47551,065243,653255,3251,218,2651,705,5716,091,3258,527,85542,639,275
-1-5-7-25-35-167-175-835-1,169-1,459-4,175-5,845-7,295-10,213-29,225-36,475-51,065-243,653-255,325-1,218,265-1,705,571-6,091,325-8,527,855-42,639,275

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