Q: What are the factor combinations of the number 224,210,345?

 A:
Positive:   1 x 2242103455 x 4484206941 x 5468545205 x 1093709997 x 2248851097 x 2043854985 x 449775485 x 40877
Negative: -1 x -224210345-5 x -44842069-41 x -5468545-205 x -1093709-997 x -224885-1097 x -204385-4985 x -44977-5485 x -40877


How do I find the factor combinations of the number 224,210,345?

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 224,210,345, 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.

1 224,210,345
-1 -224,210,345

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 224,210,345.

Example:
1 x 224,210,345 = 224,210,345
and
-1 x -224,210,345 = 224,210,345
Notice both answers equal 224,210,345

With that explanation out of the way, let's continue. Next, we take the number 224,210,345 and divide it by 2:

224,210,345 ÷ 2 = 112,105,172.5

If the quotient is a whole number, then 2 and 112,105,172.5 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:

1 224,210,345
-1 -224,210,345

Now, we try dividing 224,210,345 by 3:

224,210,345 ÷ 3 = 74,736,781.6667

If the quotient is a whole number, then 3 and 74,736,781.6667 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:

1 224,210,345
-1 -224,210,345

Let's try dividing by 4:

224,210,345 ÷ 4 = 56,052,586.25

If the quotient is a whole number, then 4 and 56,052,586.25 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:

1 224,210,345
-1 224,210,345
Keep dividing by the next highest number until you cannot divide anymore.

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

15412059971,0974,9855,48540,87744,977204,385224,8851,093,7095,468,54544,842,069224,210,345
-1-5-41-205-997-1,097-4,985-5,485-40,877-44,977-204,385-224,885-1,093,709-5,468,545-44,842,069-224,210,345

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