Q: What are the factor combinations of the number 42,479,155?

 A:
Positive:   1 x 424791555 x 849583119 x 223574595 x 447149149 x 285095745 x 570192831 x 150053001 x 14155
Negative: -1 x -42479155-5 x -8495831-19 x -2235745-95 x -447149-149 x -285095-745 x -57019-2831 x -15005-3001 x -14155


How do I find the factor combinations of the number 42,479,155?

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 42,479,155, 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 42,479,155
-1 -42,479,155

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 42,479,155.

Example:
1 x 42,479,155 = 42,479,155
and
-1 x -42,479,155 = 42,479,155
Notice both answers equal 42,479,155

With that explanation out of the way, let's continue. Next, we take the number 42,479,155 and divide it by 2:

42,479,155 ÷ 2 = 21,239,577.5

If the quotient is a whole number, then 2 and 21,239,577.5 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 42,479,155
-1 -42,479,155

Now, we try dividing 42,479,155 by 3:

42,479,155 ÷ 3 = 14,159,718.3333

If the quotient is a whole number, then 3 and 14,159,718.3333 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 42,479,155
-1 -42,479,155

Let's try dividing by 4:

42,479,155 ÷ 4 = 10,619,788.75

If the quotient is a whole number, then 4 and 10,619,788.75 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 42,479,155
-1 42,479,155
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951497452,8313,00114,15515,00557,019285,095447,1492,235,7458,495,83142,479,155
-1-5-19-95-149-745-2,831-3,001-14,155-15,005-57,019-285,095-447,149-2,235,745-8,495,831-42,479,155

More Examples

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