Q: What are the factor combinations of the number 12,946,740?

 A:
Positive:   1 x 129467402 x 64733703 x 43155804 x 32366855 x 25893486 x 215779010 x 129467412 x 107889515 x 86311620 x 64733730 x 43155860 x 215779151 x 85740302 x 42870453 x 28580604 x 21435755 x 17148906 x 142901429 x 90601510 x 85741812 x 71452265 x 57162858 x 45303020 x 4287
Negative: -1 x -12946740-2 x -6473370-3 x -4315580-4 x -3236685-5 x -2589348-6 x -2157790-10 x -1294674-12 x -1078895-15 x -863116-20 x -647337-30 x -431558-60 x -215779-151 x -85740-302 x -42870-453 x -28580-604 x -21435-755 x -17148-906 x -14290-1429 x -9060-1510 x -8574-1812 x -7145-2265 x -5716-2858 x -4530-3020 x -4287


How do I find the factor combinations of the number 12,946,740?

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 12,946,740, 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 12,946,740
-1 -12,946,740

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 12,946,740.

Example:
1 x 12,946,740 = 12,946,740
and
-1 x -12,946,740 = 12,946,740
Notice both answers equal 12,946,740

With that explanation out of the way, let's continue. Next, we take the number 12,946,740 and divide it by 2:

12,946,740 ÷ 2 = 6,473,370

If the quotient is a whole number, then 2 and 6,473,370 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 6,473,370 12,946,740
-1 -2 -6,473,370 -12,946,740

Now, we try dividing 12,946,740 by 3:

12,946,740 ÷ 3 = 4,315,580

If the quotient is a whole number, then 3 and 4,315,580 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 4,315,580 6,473,370 12,946,740
-1 -2 -3 -4,315,580 -6,473,370 -12,946,740

Let's try dividing by 4:

12,946,740 ÷ 4 = 3,236,685

If the quotient is a whole number, then 4 and 3,236,685 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 3,236,685 4,315,580 6,473,370 12,946,740
-1 -2 -3 -4 -3,236,685 -4,315,580 -6,473,370 12,946,740
Keep dividing by the next highest number until you cannot divide anymore.

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

1234561012152030601513024536047559061,4291,5101,8122,2652,8583,0204,2874,5305,7167,1458,5749,06014,29017,14821,43528,58042,87085,740215,779431,558647,337863,1161,078,8951,294,6742,157,7902,589,3483,236,6854,315,5806,473,37012,946,740
-1-2-3-4-5-6-10-12-15-20-30-60-151-302-453-604-755-906-1,429-1,510-1,812-2,265-2,858-3,020-4,287-4,530-5,716-7,145-8,574-9,060-14,290-17,148-21,435-28,580-42,870-85,740-215,779-431,558-647,337-863,116-1,078,895-1,294,674-2,157,790-2,589,348-3,236,685-4,315,580-6,473,370-12,946,740

More Examples

Here are some more numbers to try:

12,946,73812,946,73912,946,74112,946,742
Try the factor calculator

Explore more about the number 12,946,740:


Ask a Question