Q: What are the factor combinations of the number 360,342,745?

 A:
Positive:   1 x 3603427455 x 720685497 x 5147753535 x 102955071249 x 2885056245 x 577018243 x 437158743 x 41215
Negative: -1 x -360342745-5 x -72068549-7 x -51477535-35 x -10295507-1249 x -288505-6245 x -57701-8243 x -43715-8743 x -41215


How do I find the factor combinations of the number 360,342,745?

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 360,342,745, 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.

1 360,342,745
-1 -360,342,745

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 360,342,745.

Example:
1 x 360,342,745 = 360,342,745
and
-1 x -360,342,745 = 360,342,745
Notice both answers equal 360,342,745

With that explanation out of the way, let's continue. Next, we take the number 360,342,745 and divide it by 2:

360,342,745 ÷ 2 = 180,171,372.5

If the quotient is a whole number, then 2 and 180,171,372.5 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:

1 360,342,745
-1 -360,342,745

Now, we try dividing 360,342,745 by 3:

360,342,745 ÷ 3 = 120,114,248.3333

If the quotient is a whole number, then 3 and 120,114,248.3333 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:

1 360,342,745
-1 -360,342,745

Let's try dividing by 4:

360,342,745 ÷ 4 = 90,085,686.25

If the quotient is a whole number, then 4 and 90,085,686.25 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:

1 360,342,745
-1 360,342,745
Keep dividing by the next highest number until you cannot divide anymore.

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

157351,2496,2458,2438,74341,21543,71557,701288,50510,295,50751,477,53572,068,549360,342,745
-1-5-7-35-1,249-6,245-8,243-8,743-41,215-43,715-57,701-288,505-10,295,507-51,477,535-72,068,549-360,342,745

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