Q: What are the factor combinations of the number 234,142,355?

 A:
Positive:   1 x 2341423555 x 46828471109 x 2148095349 x 670895545 x 4296191231 x 1902051745 x 1341796155 x 38041
Negative: -1 x -234142355-5 x -46828471-109 x -2148095-349 x -670895-545 x -429619-1231 x -190205-1745 x -134179-6155 x -38041


How do I find the factor combinations of the number 234,142,355?

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 234,142,355, 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.

1 234,142,355
-1 -234,142,355

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 234,142,355.

Example:
1 x 234,142,355 = 234,142,355
and
-1 x -234,142,355 = 234,142,355
Notice both answers equal 234,142,355

With that explanation out of the way, let's continue. Next, we take the number 234,142,355 and divide it by 2:

234,142,355 ÷ 2 = 117,071,177.5

If the quotient is a whole number, then 2 and 117,071,177.5 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:

1 234,142,355
-1 -234,142,355

Now, we try dividing 234,142,355 by 3:

234,142,355 ÷ 3 = 78,047,451.6667

If the quotient is a whole number, then 3 and 78,047,451.6667 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:

1 234,142,355
-1 -234,142,355

Let's try dividing by 4:

234,142,355 ÷ 4 = 58,535,588.75

If the quotient is a whole number, then 4 and 58,535,588.75 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:

1 234,142,355
-1 234,142,355
Keep dividing by the next highest number until you cannot divide anymore.

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

151093495451,2311,7456,15538,041134,179190,205429,619670,8952,148,09546,828,471234,142,355
-1-5-109-349-545-1,231-1,745-6,155-38,041-134,179-190,205-429,619-670,895-2,148,095-46,828,471-234,142,355

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