Q: What are the factor combinations of the number 46,467,468?

 A:
Positive:   1 x 464674682 x 232337343 x 154891564 x 116168676 x 77445789 x 516305212 x 387228918 x 258152636 x 1290763283 x 164196566 x 82098849 x 547321132 x 410491698 x 273662547 x 182443396 x 136834561 x 101885094 x 9122
Negative: -1 x -46467468-2 x -23233734-3 x -15489156-4 x -11616867-6 x -7744578-9 x -5163052-12 x -3872289-18 x -2581526-36 x -1290763-283 x -164196-566 x -82098-849 x -54732-1132 x -41049-1698 x -27366-2547 x -18244-3396 x -13683-4561 x -10188-5094 x -9122


How do I find the factor combinations of the number 46,467,468?

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 46,467,468, 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 46,467,468
-1 -46,467,468

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 46,467,468.

Example:
1 x 46,467,468 = 46,467,468
and
-1 x -46,467,468 = 46,467,468
Notice both answers equal 46,467,468

With that explanation out of the way, let's continue. Next, we take the number 46,467,468 and divide it by 2:

46,467,468 ÷ 2 = 23,233,734

If the quotient is a whole number, then 2 and 23,233,734 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 23,233,734 46,467,468
-1 -2 -23,233,734 -46,467,468

Now, we try dividing 46,467,468 by 3:

46,467,468 ÷ 3 = 15,489,156

If the quotient is a whole number, then 3 and 15,489,156 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 15,489,156 23,233,734 46,467,468
-1 -2 -3 -15,489,156 -23,233,734 -46,467,468

Let's try dividing by 4:

46,467,468 ÷ 4 = 11,616,867

If the quotient is a whole number, then 4 and 11,616,867 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 11,616,867 15,489,156 23,233,734 46,467,468
-1 -2 -3 -4 -11,616,867 -15,489,156 -23,233,734 46,467,468
Keep dividing by the next highest number until you cannot divide anymore.

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

1234691218362835668491,1321,6982,5473,3964,5615,0949,12210,18813,68318,24427,36641,04954,73282,098164,1961,290,7632,581,5263,872,2895,163,0527,744,57811,616,86715,489,15623,233,73446,467,468
-1-2-3-4-6-9-12-18-36-283-566-849-1,132-1,698-2,547-3,396-4,561-5,094-9,122-10,188-13,683-18,244-27,366-41,049-54,732-82,098-164,196-1,290,763-2,581,526-3,872,289-5,163,052-7,744,578-11,616,867-15,489,156-23,233,734-46,467,468

More Examples

Here are some more numbers to try:

46,467,46646,467,46746,467,46946,467,470
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