Q: What are the factor combinations of the number 42,345,215?

 A:
Positive:   1 x 423452155 x 846904311 x 384956517 x 249089555 x 76991385 x 498179187 x 226445935 x 45289
Negative: -1 x -42345215-5 x -8469043-11 x -3849565-17 x -2490895-55 x -769913-85 x -498179-187 x -226445-935 x -45289


How do I find the factor combinations of the number 42,345,215?

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 42,345,215, 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 42,345,215
-1 -42,345,215

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 42,345,215.

Example:
1 x 42,345,215 = 42,345,215
and
-1 x -42,345,215 = 42,345,215
Notice both answers equal 42,345,215

With that explanation out of the way, let's continue. Next, we take the number 42,345,215 and divide it by 2:

42,345,215 ÷ 2 = 21,172,607.5

If the quotient is a whole number, then 2 and 21,172,607.5 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 42,345,215
-1 -42,345,215

Now, we try dividing 42,345,215 by 3:

42,345,215 ÷ 3 = 14,115,071.6667

If the quotient is a whole number, then 3 and 14,115,071.6667 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 42,345,215
-1 -42,345,215

Let's try dividing by 4:

42,345,215 ÷ 4 = 10,586,303.75

If the quotient is a whole number, then 4 and 10,586,303.75 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 42,345,215
-1 42,345,215
Keep dividing by the next highest number until you cannot divide anymore.

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

151117558518793545,289226,445498,179769,9132,490,8953,849,5658,469,04342,345,215
-1-5-11-17-55-85-187-935-45,289-226,445-498,179-769,913-2,490,895-3,849,565-8,469,043-42,345,215

More Examples

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