Q: What are the factor combinations of the number 42,606,840?

 A:
Positive:   1 x 426068402 x 213034203 x 142022804 x 106517105 x 85213686 x 71011408 x 532585510 x 426068412 x 355057015 x 284045620 x 213034224 x 177528530 x 142022840 x 106517160 x 710114120 x 355057
Negative: -1 x -42606840-2 x -21303420-3 x -14202280-4 x -10651710-5 x -8521368-6 x -7101140-8 x -5325855-10 x -4260684-12 x -3550570-15 x -2840456-20 x -2130342-24 x -1775285-30 x -1420228-40 x -1065171-60 x -710114-120 x -355057


How do I find the factor combinations of the number 42,606,840?

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 42,606,840, 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 42,606,840
-1 -42,606,840

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 42,606,840.

Example:
1 x 42,606,840 = 42,606,840
and
-1 x -42,606,840 = 42,606,840
Notice both answers equal 42,606,840

With that explanation out of the way, let's continue. Next, we take the number 42,606,840 and divide it by 2:

42,606,840 ÷ 2 = 21,303,420

If the quotient is a whole number, then 2 and 21,303,420 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 21,303,420 42,606,840
-1 -2 -21,303,420 -42,606,840

Now, we try dividing 42,606,840 by 3:

42,606,840 ÷ 3 = 14,202,280

If the quotient is a whole number, then 3 and 14,202,280 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 14,202,280 21,303,420 42,606,840
-1 -2 -3 -14,202,280 -21,303,420 -42,606,840

Let's try dividing by 4:

42,606,840 ÷ 4 = 10,651,710

If the quotient is a whole number, then 4 and 10,651,710 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 10,651,710 14,202,280 21,303,420 42,606,840
-1 -2 -3 -4 -10,651,710 -14,202,280 -21,303,420 42,606,840
Keep dividing by the next highest number until you cannot divide anymore.

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

12345681012152024304060120355,057710,1141,065,1711,420,2281,775,2852,130,3422,840,4563,550,5704,260,6845,325,8557,101,1408,521,36810,651,71014,202,28021,303,42042,606,840
-1-2-3-4-5-6-8-10-12-15-20-24-30-40-60-120-355,057-710,114-1,065,171-1,420,228-1,775,285-2,130,342-2,840,456-3,550,570-4,260,684-5,325,855-7,101,140-8,521,368-10,651,710-14,202,280-21,303,420-42,606,840

More Examples

Here are some more numbers to try:

42,606,83842,606,83942,606,84142,606,842
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