Q: What are the factor combinations of the number 42,682,824?

 A:
Positive:   1 x 426828242 x 213414123 x 142276084 x 106707066 x 71138048 x 53353539 x 474253612 x 355690218 x 237126824 x 177845136 x 118563472 x 592817307 x 139032614 x 69516921 x 463441228 x 347581842 x 231721931 x 221042456 x 173792763 x 154483684 x 115863862 x 110525526 x 77245793 x 7368
Negative: -1 x -42682824-2 x -21341412-3 x -14227608-4 x -10670706-6 x -7113804-8 x -5335353-9 x -4742536-12 x -3556902-18 x -2371268-24 x -1778451-36 x -1185634-72 x -592817-307 x -139032-614 x -69516-921 x -46344-1228 x -34758-1842 x -23172-1931 x -22104-2456 x -17379-2763 x -15448-3684 x -11586-3862 x -11052-5526 x -7724-5793 x -7368


How do I find the factor combinations of the number 42,682,824?

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 42,682,824, 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 42,682,824
-1 -42,682,824

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 42,682,824.

Example:
1 x 42,682,824 = 42,682,824
and
-1 x -42,682,824 = 42,682,824
Notice both answers equal 42,682,824

With that explanation out of the way, let's continue. Next, we take the number 42,682,824 and divide it by 2:

42,682,824 ÷ 2 = 21,341,412

If the quotient is a whole number, then 2 and 21,341,412 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 21,341,412 42,682,824
-1 -2 -21,341,412 -42,682,824

Now, we try dividing 42,682,824 by 3:

42,682,824 ÷ 3 = 14,227,608

If the quotient is a whole number, then 3 and 14,227,608 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 14,227,608 21,341,412 42,682,824
-1 -2 -3 -14,227,608 -21,341,412 -42,682,824

Let's try dividing by 4:

42,682,824 ÷ 4 = 10,670,706

If the quotient is a whole number, then 4 and 10,670,706 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 10,670,706 14,227,608 21,341,412 42,682,824
-1 -2 -3 -4 -10,670,706 -14,227,608 -21,341,412 42,682,824
Keep dividing by the next highest number until you cannot divide anymore.

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

123468912182436723076149211,2281,8421,9312,4562,7633,6843,8625,5265,7937,3687,72411,05211,58615,44817,37922,10423,17234,75846,34469,516139,032592,8171,185,6341,778,4512,371,2683,556,9024,742,5365,335,3537,113,80410,670,70614,227,60821,341,41242,682,824
-1-2-3-4-6-8-9-12-18-24-36-72-307-614-921-1,228-1,842-1,931-2,456-2,763-3,684-3,862-5,526-5,793-7,368-7,724-11,052-11,586-15,448-17,379-22,104-23,172-34,758-46,344-69,516-139,032-592,817-1,185,634-1,778,451-2,371,268-3,556,902-4,742,536-5,335,353-7,113,804-10,670,706-14,227,608-21,341,412-42,682,824

More Examples

Here are some more numbers to try:

42,682,82242,682,82342,682,82542,682,826
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