Q: What are the factor combinations of the number 42,314,411?

 A:
Positive:   1 x 4231441117 x 248908323 x 183975731 x 1364981391 x 108221527 x 80293713 x 593473491 x 12121
Negative: -1 x -42314411-17 x -2489083-23 x -1839757-31 x -1364981-391 x -108221-527 x -80293-713 x -59347-3491 x -12121


How do I find the factor combinations of the number 42,314,411?

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 42,314,411, 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 42,314,411
-1 -42,314,411

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 42,314,411.

Example:
1 x 42,314,411 = 42,314,411
and
-1 x -42,314,411 = 42,314,411
Notice both answers equal 42,314,411

With that explanation out of the way, let's continue. Next, we take the number 42,314,411 and divide it by 2:

42,314,411 ÷ 2 = 21,157,205.5

If the quotient is a whole number, then 2 and 21,157,205.5 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 42,314,411
-1 -42,314,411

Now, we try dividing 42,314,411 by 3:

42,314,411 ÷ 3 = 14,104,803.6667

If the quotient is a whole number, then 3 and 14,104,803.6667 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 42,314,411
-1 -42,314,411

Let's try dividing by 4:

42,314,411 ÷ 4 = 10,578,602.75

If the quotient is a whole number, then 4 and 10,578,602.75 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 42,314,411
-1 42,314,411
Keep dividing by the next highest number until you cannot divide anymore.

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

11723313915277133,49112,12159,34780,293108,2211,364,9811,839,7572,489,08342,314,411
-1-17-23-31-391-527-713-3,491-12,121-59,347-80,293-108,221-1,364,981-1,839,757-2,489,083-42,314,411

More Examples

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