Q: What are the factor combinations of the number 42,643,615?

 A:
Positive:   1 x 426436155 x 85287237 x 609194535 x 1218389191 x 223265955 x 446531337 x 318956379 x 6685
Negative: -1 x -42643615-5 x -8528723-7 x -6091945-35 x -1218389-191 x -223265-955 x -44653-1337 x -31895-6379 x -6685


How do I find the factor combinations of the number 42,643,615?

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 42,643,615, 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 42,643,615
-1 -42,643,615

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 42,643,615.

Example:
1 x 42,643,615 = 42,643,615
and
-1 x -42,643,615 = 42,643,615
Notice both answers equal 42,643,615

With that explanation out of the way, let's continue. Next, we take the number 42,643,615 and divide it by 2:

42,643,615 ÷ 2 = 21,321,807.5

If the quotient is a whole number, then 2 and 21,321,807.5 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 42,643,615
-1 -42,643,615

Now, we try dividing 42,643,615 by 3:

42,643,615 ÷ 3 = 14,214,538.3333

If the quotient is a whole number, then 3 and 14,214,538.3333 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 42,643,615
-1 -42,643,615

Let's try dividing by 4:

42,643,615 ÷ 4 = 10,660,903.75

If the quotient is a whole number, then 4 and 10,660,903.75 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 42,643,615
-1 42,643,615
Keep dividing by the next highest number until you cannot divide anymore.

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

157351919551,3376,3796,68531,89544,653223,2651,218,3896,091,9458,528,72342,643,615
-1-5-7-35-191-955-1,337-6,379-6,685-31,895-44,653-223,265-1,218,389-6,091,945-8,528,723-42,643,615

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