Q: What are the factor combinations of the number 40,642,315?

 A:
Positive:   1 x 406423155 x 81284637 x 580604535 x 116120949 x 829435245 x 165887
Negative: -1 x -40642315-5 x -8128463-7 x -5806045-35 x -1161209-49 x -829435-245 x -165887


How do I find the factor combinations of the number 40,642,315?

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 40,642,315, 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 40,642,315
-1 -40,642,315

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 40,642,315.

Example:
1 x 40,642,315 = 40,642,315
and
-1 x -40,642,315 = 40,642,315
Notice both answers equal 40,642,315

With that explanation out of the way, let's continue. Next, we take the number 40,642,315 and divide it by 2:

40,642,315 ÷ 2 = 20,321,157.5

If the quotient is a whole number, then 2 and 20,321,157.5 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 40,642,315
-1 -40,642,315

Now, we try dividing 40,642,315 by 3:

40,642,315 ÷ 3 = 13,547,438.3333

If the quotient is a whole number, then 3 and 13,547,438.3333 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 40,642,315
-1 -40,642,315

Let's try dividing by 4:

40,642,315 ÷ 4 = 10,160,578.75

If the quotient is a whole number, then 4 and 10,160,578.75 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 40,642,315
-1 40,642,315
Keep dividing by the next highest number until you cannot divide anymore.

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

1573549245165,887829,4351,161,2095,806,0458,128,46340,642,315
-1-5-7-35-49-245-165,887-829,435-1,161,209-5,806,045-8,128,463-40,642,315

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