Q: What are the prime factors of the number 156,987,008?

 A: 2, 1226461

Why are those the prime factors of the number 156,987,008?

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 156,987,008

156,987,008
Factor Arrows
278,493,504
Factor Arrows
239,246,752
Factor Arrows
219,623,376
Factor Arrows
29,811,688
Factor Arrows
24,905,844
Factor Arrows
22,452,922
Factor Arrows
21,226,461

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, 1226461

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 2 x 1,226,461 = 156,987,008

This can also be written as 27 x 1,226,4611 = 156,987,008

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


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