Q: What are the factor combinations of the number 155,037,084?

 A:
Positive:   1 x 1550370842 x 775185423 x 516790284 x 387592716 x 2583951412 x 1291975753 x 2925228106 x 1462614159 x 975076212 x 731307318 x 487538636 x 243769
Negative: -1 x -155037084-2 x -77518542-3 x -51679028-4 x -38759271-6 x -25839514-12 x -12919757-53 x -2925228-106 x -1462614-159 x -975076-212 x -731307-318 x -487538-636 x -243769


How do I find the factor combinations of the number 155,037,084?

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 155,037,084, 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.

1 155,037,084
-1 -155,037,084

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 155,037,084.

Example:
1 x 155,037,084 = 155,037,084
and
-1 x -155,037,084 = 155,037,084
Notice both answers equal 155,037,084

With that explanation out of the way, let's continue. Next, we take the number 155,037,084 and divide it by 2:

155,037,084 ÷ 2 = 77,518,542

If the quotient is a whole number, then 2 and 77,518,542 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 77,518,542 155,037,084
-1 -2 -77,518,542 -155,037,084

Now, we try dividing 155,037,084 by 3:

155,037,084 ÷ 3 = 51,679,028

If the quotient is a whole number, then 3 and 51,679,028 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 51,679,028 77,518,542 155,037,084
-1 -2 -3 -51,679,028 -77,518,542 -155,037,084

Let's try dividing by 4:

155,037,084 ÷ 4 = 38,759,271

If the quotient is a whole number, then 4 and 38,759,271 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 38,759,271 51,679,028 77,518,542 155,037,084
-1 -2 -3 -4 -38,759,271 -51,679,028 -77,518,542 155,037,084
Keep dividing by the next highest number until you cannot divide anymore.

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

123461253106159212318636243,769487,538731,307975,0761,462,6142,925,22812,919,75725,839,51438,759,27151,679,02877,518,542155,037,084
-1-2-3-4-6-12-53-106-159-212-318-636-243,769-487,538-731,307-975,076-1,462,614-2,925,228-12,919,757-25,839,514-38,759,271-51,679,028-77,518,542-155,037,084

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