Q: What are the prime factors of the number 156,551,104?

 A: 2, 113, 21647

Why are those the prime factors of the number 156,551,104?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 156,551,104

156,551,104
Factor Arrows
278,275,552
Factor Arrows
239,137,776
Factor Arrows
219,568,888
Factor Arrows
29,784,444
Factor Arrows
24,892,222
Factor Arrows
22,446,111
Factor Arrows
11321,647

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 113, 21647

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 113 x 21,647 = 156,551,104

This can also be written as 26 x 1131 x 21,6471 = 156,551,104

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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