Q: What are the factor combinations of the number 46,612,237?

 A:
Positive:   1 x 466122377 x 665889123 x 202661989 x 523733161 x 289517623 x 748192047 x 227713253 x 14329
Negative: -1 x -46612237-7 x -6658891-23 x -2026619-89 x -523733-161 x -289517-623 x -74819-2047 x -22771-3253 x -14329


How do I find the factor combinations of the number 46,612,237?

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 46,612,237, 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 46,612,237
-1 -46,612,237

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 46,612,237.

Example:
1 x 46,612,237 = 46,612,237
and
-1 x -46,612,237 = 46,612,237
Notice both answers equal 46,612,237

With that explanation out of the way, let's continue. Next, we take the number 46,612,237 and divide it by 2:

46,612,237 ÷ 2 = 23,306,118.5

If the quotient is a whole number, then 2 and 23,306,118.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

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

1 46,612,237
-1 -46,612,237

Now, we try dividing 46,612,237 by 3:

46,612,237 ÷ 3 = 15,537,412.3333

If the quotient is a whole number, then 3 and 15,537,412.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

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

1 46,612,237
-1 -46,612,237

Let's try dividing by 4:

46,612,237 ÷ 4 = 11,653,059.25

If the quotient is a whole number, then 4 and 11,653,059.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

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

1 46,612,237
-1 46,612,237
Keep dividing by the next highest number until you cannot divide anymore.

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

1723891616232,0473,25314,32922,77174,819289,517523,7332,026,6196,658,89146,612,237
-1-7-23-89-161-623-2,047-3,253-14,329-22,771-74,819-289,517-523,733-2,026,619-6,658,891-46,612,237

More Examples

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