Q: What are the factor combinations of the number 40,311,396?

 A:
Positive:   1 x 403113962 x 201556983 x 134371324 x 100778496 x 67185669 x 447904412 x 335928318 x 223952236 x 111976159 x 683244118 x 341622177 x 227748236 x 170811354 x 113874531 x 75916708 x 569371062 x 379582124 x 18979
Negative: -1 x -40311396-2 x -20155698-3 x -13437132-4 x -10077849-6 x -6718566-9 x -4479044-12 x -3359283-18 x -2239522-36 x -1119761-59 x -683244-118 x -341622-177 x -227748-236 x -170811-354 x -113874-531 x -75916-708 x -56937-1062 x -37958-2124 x -18979


How do I find the factor combinations of the number 40,311,396?

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 40,311,396, 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 40,311,396
-1 -40,311,396

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 40,311,396.

Example:
1 x 40,311,396 = 40,311,396
and
-1 x -40,311,396 = 40,311,396
Notice both answers equal 40,311,396

With that explanation out of the way, let's continue. Next, we take the number 40,311,396 and divide it by 2:

40,311,396 ÷ 2 = 20,155,698

If the quotient is a whole number, then 2 and 20,155,698 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 20,155,698 40,311,396
-1 -2 -20,155,698 -40,311,396

Now, we try dividing 40,311,396 by 3:

40,311,396 ÷ 3 = 13,437,132

If the quotient is a whole number, then 3 and 13,437,132 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 13,437,132 20,155,698 40,311,396
-1 -2 -3 -13,437,132 -20,155,698 -40,311,396

Let's try dividing by 4:

40,311,396 ÷ 4 = 10,077,849

If the quotient is a whole number, then 4 and 10,077,849 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 10,077,849 13,437,132 20,155,698 40,311,396
-1 -2 -3 -4 -10,077,849 -13,437,132 -20,155,698 40,311,396
Keep dividing by the next highest number until you cannot divide anymore.

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

123469121836591181772363545317081,0622,12418,97937,95856,93775,916113,874170,811227,748341,622683,2441,119,7612,239,5223,359,2834,479,0446,718,56610,077,84913,437,13220,155,69840,311,396
-1-2-3-4-6-9-12-18-36-59-118-177-236-354-531-708-1,062-2,124-18,979-37,958-56,937-75,916-113,874-170,811-227,748-341,622-683,244-1,119,761-2,239,522-3,359,283-4,479,044-6,718,566-10,077,849-13,437,132-20,155,698-40,311,396

More Examples

Here are some more numbers to try:

40,311,39440,311,39540,311,39740,311,398
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